The students in Mr.Collin's class used a surveyor's measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance. To the nearest foot, what is the height of the building?
a. 105 ft
b. 116 ft
c. 32 ft
d. 54 ft
Answers
The height of the building is approximately 105 ft.
According to the question,
We have the following information:
The angle made from their location to the building = 59°
The distance of the building from their location = 63 ft
Now, we can find the height of the building by using trigonometric function of tan.
We know that tan is equal to perpendicular/base.
In this case, perpendicular is the height of the building and base is the distance of the location from the building.
We have:
Tan 59° = Height of the building/distance of the building from the location
We know that the value of tan 59° is 1.6643.
Let's take the height of the building to be H ft.
1.6643 = H/63
H = 1.6643*63 ft
H = 104.85 ft
Now, this number can be rounded off to 105 ft.
Hence, the correct option is a.
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Related Questions
pLeAsE do this!! In five minutes it's due.
The area of a rectangular garden is 21x²-8x-4. Factor completely to find the dimensions of the box.(So find the length and width.)
Answers
Answer:
It's (7x+2)(3x−2)
Step-by-step explanation:
Draw graph of straight lines to find approximate solution to these simultaneous equations . y = 3x + 7 and 2y + x = 2
Answers
Answer:
(-1.714, 1.857)
Step-by-step explanation:
Here, we want to find the approximate solution to the system of linear equations
We start by plotting the graph of the lines
We have the plot as shown below;
the red line represents the first equation while the blue line represents the second equation
We have the solution as the point at which the two lines meet
The solution to this is;
(-1.714, 1.857)
Find the measure of the indicated angle
Answers
Answer:
36°
Step-by-step explanation:
(6x)° + 54° = 90°
(complementary angles)
(6x)° = 90°- 54°
(6x)° = 36°
Right triangle XYZ is shown. Y (2,6) (1, 2) 6 х 7 Z Rounded to the nearest hundredth of a unit, what is the length of the hypotenuse?
PLEASE HELP ASK
Answers
Answer:
8.12
Step-by-step explanation:
We obtain the distance between x and y
d = sqrt[(x2 - x1)² + (y2 - y1)²]
d = sqrt[(1 - 2)² + (2 - 6)²]
d = sqrt[1 + 16)
d = sqrt(17)
d² = 17
From Pythagoras rule;
Hypotenus = sqrt(Adjacent² + opposite²)
Hence,
Hypotenus = sqrt(17 + 7²)
Hypotenus = sqrt(17+ 49)
Hypotenus = sqrt(66)
Hypotenus = 8.124
Hypotenus = 8.12
Sharon is buying candy. she buys 5 type on the menu if she splits the price equality with four friends how mich do they each pay
Answers
Answer:
D. 0.65
Step-by-step explanation:
0.05 x 5=0.25
0.01 x 5=0.05
0.07 x 5=0.35
0.25+0.05+0.35=0.65
they all must pay 0.65 each
Answer:
0.65
Step-by-step explanation:
Can anyone round the number 277235.2251 for me please. Asap please!!!
Answers
Answer:
277,235.23
Step-by-step explanation:
You have to round to the nearest 0.01 or you can call it the Hundredths Place.
The area of square ABCD is 144 square units. The area of square EFGH is 64 square units. H∈ AB and G∈ BC . The blue area is three times the red area. Find the area of △HBG.
Answers
Answer:
24
Step-by-step explanation:
RSM
PLZ HELP ASAP ASAP!!!!
Answers
==============================================================
Explanation:
The value of k determines the slope, or rate of change, of how fast the balloon is climbing per second.
For example, if k = 5, then that means the balloon is going upward at 5 feet per second (equivalent to roughly 3.41 mph)
If k = 5, then y = kt becomes y = 5t. Note how we have the following
t = 0 leads to y = 0t = 1 leads to y = 5t = 2 leads to y = 10t = 3 leads to y = 15and so on. Each time t goes up by 1, d goes up by 5. This is one way to see how the speed is 5/1 = 5 ft per second.
The volume of a Soap cake is 160 cm 3 . Its length and width are 10cm and 5 cm. Find its height.
Answers
Answer:
h = 3.2 cm
Step-by-step explanation:
[tex]h=\frac{Volume}{l * w}\\\\=\frac{160}{10*5}\\\\=\frac{16}{5}\\\\[/tex]
= 3.2 cm
Lisa goes out to eat with her family and spends 42.50. she gives the waiter 15% tip .how much money does she spend in total ?
Answers
Answer:
Step-by-step explanation:
1.15×$42.50 = $48.875 ≅ $48.88
Answer:
$48.88
Step-by-step explanation:
42.50 increase 15% =
42.50 × (1 + 15%) = 42.50 × (1 + 0.15) = 48.875
4 times what is closest to 26 without going over
Answers
Answer:
4*6=24 answer:6
any other number would be less or more
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
4 x 6 is 24 and 4 x 7 is 28. 26 is between 24 and 28, so got to 24 since that is less than 26. 4 x 6 gets you 24, so 6 is your answer.
Hope it helps!
A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each holds 120 popped kernels. There are 1,600 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed, and how many popped kernels are in the last partially filled box?
Answers
Answer:
14 ; 40
Step-by-step explanation:
Number of unpopped popcorn = 1600 kernels
Kernel per popped corn = 120
Number of boxes needed :
Number of unpopped / kernel per popped corn
1600 / 120
= 13.3333
Hence, number of boxes needed = 14
Number of popped kernel. In partially filled box :
1600 - (120 * 13)
1600 - 1560
= 40
For each parallelogram below, find the value of x.
Will give brainliest for full answer
Answers
Answer:
x = 3 and x = 8
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, then
WA = DR , substitute values
12x - 9 = 5x + 12 ( subtract 5x from both sides )
7x - 9 = 12 ( add 9 to both sides )
7x = 21 ( divide both sides by 7 )
x = 3
------------------------------------------------------
The diagonals of a parallelogram bisect each other, then
QS = [tex]\frac{1}{2}[/tex] QT , that is
8x - 14 = [tex]\frac{1}{2}[/tex] × 100 = 50 ( add 14 to both sides )
8x = 64 ( divide both sides by 8 )
x = 8
Answer:
x = 3 and x = 8
Step-by-step explanation:
Hope this will help
Which pairs are like terms in the expression below? Select all that apply.
25y + 15x – 0.2y – 6 + (–2)
Answers
Answer:
15x and -0.2y
Step-by-step explanation:
Emily drove 328 miles in 8 hours. If she drove at a constant rate, how far did she
travel each hour?
Answers
Answer:
41 mph (miles per hour)
Step-by-step explanation:
Pls will give brainliest! Asap!
Answers
Answer:
it is -11
Step-by-step explanation:
first thing you do is subtract 64 minus 75 and that will be the answer
Answer:
-11
Step-by-step explanation:
64-75=-11
hope i helped :)
Please triple check
Answers
Answer:
Step-by-step explanation:
6 children speak english out of 20 children
P(E)=6/20
P(E)=3/10
P(E)=0.3
Shopping While shopping for clothes, Tracy spent $27 less than 2 times what Jaclyn spent.
Tracy spent $21. Write and solve an equation to find how much Jaclyn spent. Let x represent how
much Jaclyn spent.
Answers
Answer:X = Daniel spent
Y = Tracy spent
Tracy spent = Y
$38 less than = -38
3 times Daniel spent = 3X
Put it all together
Y=3X-38
Guided Practice
Determine whether the relation is a function. Explain why or why not.
{(3, 7), (3, 8), (3, –2), (3, 4), (3, 1)}
A.
No; the domain value 3 corresponds to multiple range values.
B.
Yes; there is no value in the domain that corresponds to more than one value of the range.
C.
No; a function must have multiple domain values.
Answers
Answer:
A. it is not a function because there are multiple y-values paired with a single x-value.
Step-by-step explanation:
2y+3=5x-18. make x the subject
Answers
[tex]x = \frac{2y + 21}{5} [/tex]
Step-by-step explanation:
1) Add 18 to both sides.
[tex]2y + 3 + 18 = 5x[/tex]
2) Simplify 2y + 3 + 18 to 2y + 21.
[tex]2y + 21 = 5x[/tex]
3) Divide both sides by 5.
[tex] \frac{2y + 21}{5} [/tex]
4) Switch sides.
[tex]x = \frac{2y + 21}{5} [/tex]
Hope it helps.
sorry if its wrong.
The equation 2y + 3 = 5x - 18 can be rearranged to make x the subject as x = (2y + 21) / 5.To make x the subject of the equation 2y + 3 = 5x - 18, we need to isolate x on one side of the equation.
Let's rearrange the equation step by step:
2y + 3 = 5x - 18
First, let's move the constant term (-18) to the other side by adding 18 to both sides:
2y + 3 + 18 = 5x
2y + 21 = 5x
Next, we can divide both sides by 5 to isolate x:
(2y + 21) / 5 = x
Therefore, the equation 2y + 3 = 5x - 18 can be rearranged to make x the subject as x = (2y + 21) / 5.
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A set of middle school student heights are normally distributed with a mean of 150 centimeters and a
standard deviation of 20 centimeters. Let X = the height of a randomly selected student from this set.
Find P(130 < x < 150).
You may round your answer to two decimal places.
Answers
Answer:
.34
Step-by-step explanation:
Khan
The required value of probability P(130< x < 150) is 0.34.
What is the Z -a score?
A Z-score is stated as the fractional model of data point to the mean using standard deviations.
here, z = x - μ / σ
where, μ = mean and σ = standard deviation
Here,
From the quesiton put value in z score formula,
z = 130 - 150 / 20
z = -1
P (z < - 1) = P(x<130) = 0.15866
P (x > 130) = 0.84134
Now,
P(130< x < 150) = 0.5 - P(x<130)
P(130< x < 150) = 0.5 - 0.15866 = 0.34134
Thus, the required value of P(130< x < 150) is 0.34.
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can anyone help me? I'm so lost on this question. thanks!!
Answers
Answer:
a. -21
b. -16
c. -11
d. -9
Step-by-step explanation:
if x is less than -2, then u have to use the equation 5(x)-1
if x is greater than or equal to -2, then you have to use the equation (x)-9
Answer:
Step-by-step explanation:
This is a ‘piece wise function’ meaning it has different functions depending on the value of the independent variable, x.
So for questions a and b where x<-2 you sub the x value into the top equation, 5x-1.
f(-4)=5(-4)-1=-20-1=-21
f(-3)=5(-3)-1=-15-1=-16
Since the second two x values are not less than -2, you sub the x values into the second equation x-9
f(-2)=-2-9=-11
f(0)=-0-9=-9
Given x || y.
∠6 and ∠8 are _________ angles.
complementary
corresponding
supplementary
vertical
Answers
Answer:
angle 6 and angle 8 are vertical angles
Step-by-step explanation:
The angles opposite to each other when two lines cross are called vertical angles. In this case, angle 6 and angle 8 are those angles.
You work in the quality assurance department for a bottling company. A water bottle is supposed to contain 750
milliliters (mL) of water, and the company sets a tolerance of +5 mL.
What is the least amount of water that is considered acceptable?
1. 740 mL
2. 745 mL
3. 750 ml
4. 755 mL
5. 760 mL
Answers
Answer:
The answer is 3.
Step-by-step explanation:
The company allows an extra 5mL but there is no specified amount for less. if there was it would be ±5mL
DeepSea Challenger’s descent was a change in depth of (-4) feet per second.We can use the equation y = -4x to model this relationship, where y is the depth (-35,814 ft) and x is the time in seconds that have passed. How many seconds does this model suggest it would take for DeepSea Challenger to reach the bottom?(round to the nearest tenth)
* Explain how you got your answer.
Answers
Answer:
Step-by-step explanation:
x = -35,814 ft ⋅ (1 sec)/(-4 ft) = 8,953.5 sec
The required model suggests that it would take approximately 8957.5 seconds for DeepSea Challenger to reach the bottom.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
To find the time it takes for the DeepSea Challenger to reach the bottom, we need to find the value of x when y = -35,814 ft.
We can substitute the desired depth into the equation y = -4x:
-35,814 = -4x
35,814 = 4x
x = 35,814 / 4
x = 8953.5 seconds
So, the model suggests that it would take approximately 8957.5 seconds for DeepSea Challenger to reach the bottom.
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Find the area of 2 and 4
Answers
Answer:
2. 254.469
4. 962.11275
Plug the diameter into the equation:
A = (3.14)r^2
r being the radius
Answer:
2.) 56.52 inches or 56.55
4.) 109.9 km or 109.96
Step-by-step explanation:
diameter x pi = circumference
Write with a single exponent
b. 1/10•1/10•1/10•1/10•1/10•1/10•1/10=
Answers
Answer:
1 x 10^-7
Step-by-step explanation:
Answer:
l;komjni
Step-by-step explanation:
Tom is considering opening a pool cleaning business as a summer job. He wants to determine the percentage of people in his town that own a pool. Which is the best group of people for Tom to survey?
A
150 people who are members of the swim team
B
150 people randomly selected from customers at a local pool supply store
C
150 people randomly selected from the town telephone book
D
150 people who completed and returned a survey by mail
Answers
Answer:
D
Step-by-step explanation:
What is the image of 6, -7 after dilation by scale factor of 3 centered at the origin
Answers
Answer:
(18,−21)
Step-by-step explanation:
Dilation: multiply each coordinate
(x,y)\rightarrow (3x,3y)
(x,y)→(3x,3y)
Dilations multiply by scale factor
(\color{red}{6},\color{blue}{-7}) \rightarrow (3\cdot \color{red}{6},3\cdot \color{blue}{-7})=\mathbf{(18,-21)}
(6,−7)→(3⋅6,3⋅−7)=(18,−21)
Answer:
18,-21
Step-by-step explanation:
I hope this helps
Can someone give me the answer I need a A in math
Answers
Work:
4 squared + 7 squared = C squared
16 + 49 = C squared
65 = C squared
√65 = √C squared
8.06 = C/length
