You need to know how far you are away from the lighthouse.
You use a range finder to find the distance from the sailboat to the lighthouse light is 245 yards.
For angle B, chose an angle measure between 25° and 45°: __________
Based on the above information, find the distance from the sailboat to the island where the lighthouse is located.
Answers
Answer:
The distance from the sailboat to the island where the lighthouse is located is approximately 212.2 yards
Step-by-step explanation:
The distance between the sailboat and the lighthouse is found using trigonometric ratios as follows;
The given parameters are;
The distance from the sailboat to the lighthouse's light = 245 yards
The angle of elevation of angle B = An angle chosen between 25° and 45°
For simplicity, we chose, B = 30°
A right triangle formed with the height of the light house and the horizontal distance of the sailboat from the lighthouse as legs and angle B is the angle adjacent to the horizontal distance of sailboat from the light house
The hypotenuse length = The distance from the sailboat to the lighthouse's light = 245 yards
By trigonometric ratio, in the we have;
[tex]cos\angle B = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]
The adjacent leg length = The horizontal distance of sailboat from the light house
[tex]\therefore cos (30^{\circ}) = \dfrac{The \ horizontal \ distance \ between \ the \ sailboat \ and \ the \ lighthouse }{245 \ yards}[/tex]
The horizontal distance between the sailboat and the light house = 245 × cos(30°) ≈ 212.176223927
Therefore;
The horizontal distance between the sailboat and the lighthouse ≈ 212.2 yards
Therefore, the distance from the sailboat to the island where the lighthouse is located ≈ 212.2 yards.
Related Questions
Need help What is 6/10 in simplest form
Answers
Answer:
3/5
Step-by-step explanation:
35.
Step-by-step explanation:
The simplest form of 610 is 35.
please help me thank you
i have 2MINUTES LEFTT
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Answer:
55°
Step-by-step explanation:
2 is congruent with 1
Complete the factorization of 3x2 – 5x + 2
.
Answers
what is the value of x??
−3(x+9)=33
Answers
Answer:
x= −20
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(x+9)=33
Step 1: Simplify both sides of the equation.
−3(x+9)=33
(−3)(x)+(−3)(9)=33(Distribute)
−3x+−27=33
−3x−27=33
Step 2: Add 27 to both sides.
−3x−27+27=33+27
−3x=60
Step 3: Divide both sides by -3.
−3x −3 = 60 −3 x=−20
Answer:
x=−20
Hope this helps! :)
Answer:
x=-20
Step-by-step explanation:
−3(x+9)=33
Divide both sides by -3
-3(x+9)/-3=33/-3
simplify;
-3(x+9)/-3
Divide the numbers:3/3=1
=x+9
Simplify 33/-3
=-33/3
Divide the numbers 33/3
=-11
x+9=-11
Subtract 9 from both sides
x+9-9=-11-9
Simplify;
x=-20
Helped by none other than the ONE and ONLY #QUEEN aka #DRIPPQUEENMO!
Suppose Lindsay’s mom invests $10,000, part at 3%, and the rest at 2.5%, in interest-bearing accounts.-10,00007.5 The totally yearly investment income (interest) is $283. How much did Lindsay’s mom invest at each rate?
Answers
Answer:
she invested 6600 at 3% and 3400 at 2.5%
Step-by-step explanation:
Simple interest = amount deposited x time x interest rate
Let the amount deposited in in the account bearing 3% interest by represented with a
Let the amount deposited in in the account bearing 2.5% interest by represented with (10,000 - a)
a x 0.03 + (10,000 - a) x 0.025 = 283
0.03a + 250 - 0,025a = 283
collect like terms
0.03a - 0.025a = 283 - 250
0.005a = 33
a = 6600
the amount deposited in the 2.5% account = 1000 - 6600 = 3400
The points with coordinates (0, 3) and (8, 5) lie on the straight line L. Write down an equation of L.
Answers
Answer:
y = (1/4)*x + 3
Step-by-step explanation:
A linear equation can be written as:
y = a*x + b
Where a is the slope, and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
In this case, we know that the line passes through the points (0, 3) and (8, 5)
Then the slope will be:
a = (5 - 3)/(8 - 0) = 2/8 = 1/4
Then this line is something like:
y = (1/4)*x + b
Now we want to find the value of b.
Here we can use one of the two points that we know, for example, I will use the point (0, 3), this means that when x = 0, we must have y = 3.
If we replace those two values in the line equation, we get:
3 = (1/4)*0 + b
3 = b
Then the equation for the line L is:
y = (1/4)*x + 3
yall i need help rn please
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If y = 1/2x, then y will always be half of x.
A second linear function, y = mx + 4, has the same slope as the
function in the table. What is the value of m?
Answers
Answer:
Step-by-step explanation:
Help me pleaseee!! I’ll mark
Answers
Answer:
esarespuesta ad 56
Step-by-step explanation:
Explanation: y =-5x -3
What is the 15th term in the sequence with the given formula?
An = 7n – 10
Answers
7.15-10 = 105-10 = 95 good luck
The average weight for three children was 79.6 pounds. What was the sum of their
weight?
Answers
Answer: 238.8
Step-by-step explanation:
To get an average, you add the weights together, the sum. And then you divide by how many children there was.
To go backwards, you'd times the average by the amount of children there were, 3, to get the sum
79.6 times 3 is 238.8
Un kite MO= 12 in, LP= 5 in, and PN= 8 in. What is the perimeter of the kite?
a) 19.55
b)12.60
c)35.62
d)24.77
Answers
Answer:
C.....35.6204994 is the answer so round up to 35.63
PLSSSSSSSSS HELPP WILL GIVE BRAINLIEST PLSSS
Answers
Answer:
Probably the median since it is 22
Step-by-step explanation:
The United States Postal Service delivers about 2^8⋅5^2 pieces of mail each second. There are 2^8⋅3^4⋅5^2 seconds in 6 days. How many pieces of mail does the United States Postal Service deliver in 6 days? Write your answer as an expression involving three powers.
Answers
Answer:
The total number of pieces delivered in 6 days is the number delivered each second (28.52) times the number of seconds in 6 days (28 34.52). This gives:
(28.52) (28 3¹.52) 28 + 8.31.52+2 = 216.31.54
I love your profile picture and I hope this helps! :)
Convert: 5 mi= ________ yd
Group of answer choices
1,760
8,800
8,000
7,040
The ___________________ of an object is how heavy the object is
Group of answer choices
none
length
weight
capacity
The _____________________ of a container is the amount the container can hold.
Group of answer choices
length
capacity
No answer text provided.
weight
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
__________________________________________________________
__________________________________________________________
Convert: 9 T = _____________ lb =
Compare. Write <, > or = Solve.
96 fl oz ___________ 13 c
Compare. Write <, > or = Solve.
25 lb ______________ 384 oz
Compare. Write <, > or = Solve.
8 yd ______________ 288 in.
Convert. 336 oz = _________ lb =
Answers
Answer:
I DONT KNOW BUT
Step-by-step explanation:
1) Mary and Frank have two bags in front of them. Mary's bag has 4 Inarbles; blue, yellow, red
and green. Frank's bag has 3 marbles; purple, orange, and pink. They will pick from their bag
at the same time. What is the probability of Mary selecting red from her bag and Frank selecting
purple from his bag? Use a sample space to support your answer.
Answers
Answer:
25% chance that Mary gets red, 33.3333333% chance that Frank gets purple.
Step-by-step explanation:
Water is being drained from a swimming pool containing 12,000 gallons of water. After
one hour passes, 60% of the water remains. At the start of the fifth hour, how many
gallons of water remain? Round your final answer to the nearest gallon.
933 gallons
560 gallons
1.555 gallons
2,592 gallons
Answers
Mrs. Leary wants to buy some plants and potting soil. Each plant costs $2.50 and each bag of potting soil costs $3.25. Mrs. Leary wants to spend no more than $50. If Mrs. Leary buys 4 bags of potting soil, which inequality represents the number of plants, p, that she may buy?
Answers
Answer: Ok while i was working out this problem I started by multiplying so i started by 5
2.50 x 5 = 12.5
3.25 x 5 = 16.25 then I added then and got 28.75. So i was like i should go higher. I picked 7.
2.50 x 7 = 17.5
3.25 x 7 = 22. 75 then I added those two and got 40.25 when i got that I was like yes, Im getting closer. So i picked 9 then I got..
2.50 x 9 = 22.5
3.25 x 9 = 29.25 and that equaled 51.75
so then i was like oh! Taxes so I think the answer might be 8. 46 plus tax lol.
Step-by-step explanation:
Why does everyone expect people to awnser questions but they never awnser any them selves like I need help and I've helped loads of people with their questions but not even a single one of my questions are awnsered people just want fee points so they pick easy questions not cool
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Answer:
thats crazy bro
Step-by-step explanation:
Answer:
This is very true
Step-by-step explanation:
I know how you feel
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system
Answers
12 donuts cost $6.96. What is the unit rate for one donut?
Answers
Answer:
6.96/12
= 0.58
Step-by-step explanation:
each donut costs $0.58. you can check the work by plugging 12 in for x. (0.58x)
i hope this helps :)
pls help meeeeeeeeeeeeeee
Answers
Answer:
73
Step-by-step explanation:
13+15(4) = 73
Question 3 of 10
What is the formula for finding the break-even point?
A. Break even point =
(0.125)(# of points)
monthly savings
B. Break even point =
(0.01)(# of points) (P)
monthly savings
C. Break even point =
(0.125)(# of points) (P)
monthly savings
D. Break even point =
(0.01) (# of points)
monthly savings
SUB
Answers
Answer: B. Break even point=(0.01)(# of points)(P) / monthly savings
Step-by-step explanation: took the quiz.
The formula for finding the break-even point is: Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit).
What is break-even point?The break-even point is the point at which a company's total revenue from sales equals its total costs, resulting in a profit of zero. There is no profit or loss at the break-even point.
The formula for finding the break-even point is:
Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit)
Where:
Fixed costs: the costs that do not change with the level of production or salesUnit price: the selling price of one unit of the product or serviceVariable costs per unit: the costs that vary with the level of production or sales, such as materials, labor, and shipping costs.Thus, the break-even point is the point at which the total revenue from sales equals the total costs, so there is neither a profit nor a loss.
For more details regarding break-even point, visit:
https://brainly.com/question/29063970
#SPJ5
If a point is randomly selected from the area under the curve, what is the probability that it will be in the black region?
A) 0.5
B) 1.0
C) 1.5
D) 2.0
Answers
Answer:
A) 0.5
Step-by-step explanation:
The probability between 0 and 3 is 0.49865
The probability of 0 or less (≤ 0) is 0.50000
Took the test on USA Test prep
HELP ME PLEASE I NEED THE ANSWERS ASAP. geometry
Answers
Answer:
[tex]6\pi[/tex], 6pi
Step-by-step explanation:
The area of the full circle would be [tex]\pi *4^{2}[/tex], which is [tex]16\pi[/tex]
A full circle is 360 degrees. Since we are only taking a part of that, 135, we would put it in a fraction. [tex]\frac{135}{360}[/tex]
Last, multiply 16pi and 135/360 since we are taking a part of 16pi.
[tex]16\pi *\frac{135}{360}[/tex]
[tex]\frac{2160\pi}{360}[/tex]
[tex]6\pi[/tex]
What is the missing constant term in the perfect square that starts with x^2+\dfrac{1}{2}xx
2
+
2
1
xx, squared, plus, start fraction, 1, divided by, 2, end fraction, x ?
Answers
Answer:
1/16
Step-by-step explanation:
Given the expression;
[tex]x^2+\dfrac{1}{2}x[/tex]
To find a constant that will make it a perfect square, we will use the square if the half of coefficient of x
Coefficient of x = 1/2
half of Coefficient of x = 1/2*(1/2)
Half of Coefficient of x = 1/4
square of the half of coefficient of x = (1/4)^2
square if the half of coefficient of x = 1/16
hence the constant that will make it a perfect square is 1/16
A 68 kg deer has a momentum of 952 kg-m/s. What is its velocity?
Answers
Answer:
14 m/s
Step-by-step explanation:
Please help! If you do you get 'Brainliest'
Answers
Answer:
D
Step-by-step explanation:
when dealing with percentages move the decimal back two to get its absolute value
can somebody help quick
Answers
Answer:
1.5x + 14
Step-by-step explanation:
Answer:
3x+28
Step-by-step explanation:
85 - 3x = 40
solve the inequality
Answers
-3x=-45
x=15
Answer:
x=15
Step-by-step explanation:
Like solving all Algebra equations, it is very important to make sure that the variables (In this case x) are on one side and the numbers are on the other side.
85-3x=40
First, let's subtract 40 on both sides
45-3x=0
Add 3x to both sides
45=3x
Let's divide both side by 3
And we get...
x=15
