HELP PLEASE!!
Planes that fly at high speeds and low elevations have radar systems that can determine the range of an obstacle and the angle of elevation to the top of the obstacle. The radar of a plane flying at an altitude of 20,000 feet detects a tower that is 25,000 feet away, with an angle of elevation of 1∘.
a. How many feet must the plane rise to pass over the tower?
The plane must rise at least _____feet to pass over the tower.
Question 2
b. Planes cannot come closer than 1000 feet vertically to any object. At what altitude must the plane fly in order to pass over the tower?
The plane must fly at an altitude of at least ____ feet to pass over the tower.
Answers
Answer:
a. About 436 ft
b. 21,436 feet
Step-by-step explanation:
a. Notice how the plane's rise (h), its horizontal distance from the tower, and its distance to the top of the tower (25,000 ft) all form a right triangle. If we want to find h, we need some way of putting it in an equation with the two quantities we already know: the angle of elevation and the distance to the top.
In the language of right triangles, we want to combine an angle, the side opposite the angle, and the hypotenuse. The sine function is perfect for this, since [tex]\sin{\theta}=opp/hyp[/tex]. For our problem, opp = h, hyp = 25,000, and θ = 1°, so our equation becomes
[tex]\sin{1^\circ}=h/25000[/tex]
or equivalently
[tex]h=25000\sin{1^\circ}\approx436[/tex] ft (rounded up to the nearest whole foot)
b. If the plane is currently flying at 20,000 feet, it needs to rise about 436 feet to clear the top of the tower, and another 1,000 feet to follow safety protocol, making its required altitude 20,000 + 1,000 + 436 = 21,436 feet.
Related Questions
The first time Jane went to the fitness center she exercised for 20mins. She adds 10 mins to her exercise program every other day after that. how many days will it take Jane to build her exercise program every other day after that. how may days will it take Jane to build her exercise program up to an hour in length?
Answers
Answer:
9 days
Step-by-step explanation:
Day 1 20 min
Day 2 20 min
Day 3 30 min
Day 4 30min
Day 5 40 min
Day 6 40 min
Day 7 50 min
Day 8 50 min
Day 9 60 min
find the 9th term of the geometric sequence 2, -10 50 -250
Answers
Answer:
781250
Step-by-step explanation:
We first need to find the common ratio
-10 /2 = -5
50 / -10 = -5
The common ratio is -5
an = a (r) ^ (n-1)
a9 = 2 ( -5) ^(9-1)
= 2 (-5)^8
=781250
Mr. Rojas spent d dollars to go on vacation. He bought a plane ticket for $250 and stayed in a hotel for 5 nights. If the cost of the hotel room was the same each night, what expression can be used to find how much Mr. Rojas paid each night for the hotel?
HELP ME PLEASEEEE IM SO CONFUSEDD :(
Answers
Answer:
d-250x5=i dont know
Step-by-step explanation:
neeed helppp asap hellppp
Answers
Answer:
independent = study time
dependent = grade
Step-by-step explanation:
grade is dependent upon amount of time you study (which you control independently)
Answer:
I think the independent is the time you study while the dependent variable is your grade.
Step-by-step explanation:
Since the grade relies on how much studying you do, it is dependent.
The image is above :)
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form,
Answers
Answer:
mx+b=y
200x+800=y
Step-by-step explanation:
it starts at 800 which is the y intercept
x is multiplied by 200
and y is the solution
Do not press the file
hopes this helps <3
Complete the table for the given rule.
Rule: y = 2 – 3
7.
1
7
Answers
Step-by-step explanation:
y = x-3
So, y + 3 = x
x = y + 3
if x = 7
y = 7 - 3 = 4
if y = 1
x = 1 + 3 = 4
......
Easy questions! I will give brainliest! Tysm!
What is the area of a square with side lengths of 3/5 units?
What is the side length of a square with area 1/16 square units?
What is the side length of a square with area 1/16 square units?
What is the side length of a square with area 1/16 square units?
Answers
Answer:
Step-by-step explanation:
area square = side²
(3/5)²
√(1/16)
√(1/16)
√(1/16)
What is the
range of the function graphed below? ((Writing the answers in case you can’t read them well))
A. -infinity < y < 2
B. -2 < y < infinity
C. -infinity < y < -2
D. -infinity < y < infinity
Answers
Given:
The graph of a function.
To find:
The range of the graphed function.
Solution:
We know that, the domain is the set of x-values and range is the set of y-values values.
From the given graph it is clear that the functions is defined for all real values of x.
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to 2\text{ as }x\to \infty[/tex]
The values of the function lie in the interval [tex]-\infty<y<2[/tex].
Range of the function [tex]=-\infty<y<2[/tex]
Therefore, the range of the graphed function is [tex]-\infty<y<2[/tex] and the correct option is A.
help please!! The measures of the angles of a triangle are shown in the figure below. Solve for x
Answers
Answer:
61
Step-by-step explanation:
80+39=119
180-119=61
five out of 12 apple trees in a small orchid are taller than 9 ft what is the decimal equivalent of the number of apple trees taller than 9 ft
Answers
Holly was asked to estimate the solution of the system of equations. She incorrectly said the solution is (-5,-2.5) . Estimate the solution of the system by graphing the equations. What mistake might Holly have made?
y-2x=0
y=6x+10
Answers
Answer:
answer is 10++; huuj vidi ogivj viici
Paco is trying to explain to his friend that 7 divided by 2 is 7/2 draw a model or number line showing 7 divided by 2 = 7/2
Answers
Answer:
it is true
Step-by-step explanation:
Consider the rectangle. Which pair of expressions represents the perimeter of the rectangle?
PLEASE HELP!!!
Answers
Answer:
6x + 2 and 2x + (x + 1) + 2x + (x + 1)
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Length = 2x
Width = x + 1
Perimeter of a rectangle = 2(length + width)
= 2{2x + (x + 1)}
= 2(2x + x + 1)
= 2(3x + 1)
= 6x + 2
Perimeter = length + width + length + width
= 2x + (x + 1) + 2x + (x + 1)
a man saves 8% of his salary every month . if he saves rs. 2880 every month ,what is his monthly salary
Answers
Answer:
Total salary = Rs.36,000
Step-by-step explanation:
Given:
Amount saves = Rs. 2,880
Percent of saving = 8% = 0.08
Find:
Total salary
Computation:
Total salary = [Amount saves] / Percent of saving
Total salary = 2,880 / 0.08
Total salary = Rs.36,000
how many movie tickets can you buy with $42 if one ticket costs $6 (include equation)
Answers
1=6
x=42
cross multiply
x=7
Please mark brainlist
The relationship between the number of calories Aaron burns while working out can be represented by y = 3x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?
Answers
Answer:
Step-by-step explanation:
The relation is proportional ⇒ Graph of y = 3x goes through origin
So the answer is (B)
can someone answer pls :(
i need help it’s already missing i’ll give brainlist and points
Answers
Answer:
download mathaway and put the equations in it and press graph
Answer:
Step-by-step explanation:
To graph the lines you only need to connect two points and extend the line in either direction as far as you wish.
The first line is y=x-1
We get two points by subbing in any two values of x
y(0)=0-1=-1 and y(1)=1-1=0
So you just connect (0,-1) and (1,0)
The second line is y=-x/3+3 and we can do the same thing
y(0)=-0/3+3=3 and y(3)=-3/3+3=2
So you connect (0,3) and (3,2)
Solve: please, THANKS
Answers
Answer:
20/21
Step-by-step explanation:
have a nice day or evening
60 is 150% of what number?
Answers
Answer:
40
Step-by-step explanation:
You write down the %/100 = is/of 1st
So what you want to do is remove the percentage first and the place 150% And then place 60 on the "is" Numerator. And as u can see you do 100 * 60, that'll give you 600 and then the 150% is left alone, so you divide 600 and 150 And the answer is going to be 40
Hope this helps! Mark one of us as brainliest
Answer:
40
Step-by-step explanation:
x = 60 × 100 /150
x= 40
Aaron saw it was 86° Fahrenheit, F, in Australia in January. Aaron used the formula C=5/9(F−32) to find the temperature in degrees Celsius, C. What temperature, in degrees Celsius, did Aaron find?
Answers
Answer:
[tex]30^{\circ}\text{C}[/tex]
Step-by-step explanation:
The temperature that Aaron saw was [tex]86^{\circ}\text{F}[/tex]
The formula to convert Fahrenheit to Celsius is
[tex]C=\dfrac{5]{9}(F-32)[/tex]
[tex]\Rightarrow C=\dfrac{5}{9}\times (86-32)[/tex]
[tex]\Rightarrow C=30^{\circ}\text{C}[/tex]
The given temperature in Celsius that Aaron found would be [tex]30^{\circ}\text{C}[/tex].
Please help me I am almost done
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Answer:
129 ?
Step-by-step explanation:
.
What is The equation of a circle with radius, r= 4, and the center at (0, 0)?
Answers
Answer:
x^2+y^2=16
Step-by-step explanation:
i think so
help me please. marking brainliest
Answers
Answer:
A.
Step-by-step explanation:
Need help on this assignment
Answers
Answer:
(-1)^2+5= 1+5=6
(0)^2+5= 0+5= 5
(1)^2+5= 1+5= 6
6+5+6= 17
x-1 + x0 + x1 = (-1)^2 + 5 + (0)^2 + 5 + (1)^2 + 5 = 6 + 5 + 6 = 17
Find the mode of the following data: 56, 74, 24, 56, 27, 56
Answers
Mode is the number that occurs the most so here the mode is 56
In an elementary school in Boston, 6 of the 24 students are of Irish heritage, which reflects the percent of people in Boston who are of Irish heritage. What percent of the class is of Irish heritage?
Answers
Divide f(x) by d(x), and write a summary statement in polynomial form and fraction form. F(x)=x^2-12x+43;\ d(x)=x-6
Answers
Answer:
Quotient: x^(2)-6
Reminder: 7
Step-by-step explanation:
See the attached image.
The Polynomial form of F(x) / d(x) is (x - 6) + 7 / (x - 6).
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
F(x) = x² - 12x +43
d(x) = x - 6
Then,
F(x) / d(x) = x² - 12x +43 / x - 6
Factorize the numerator,
F(x) / d(x) = [(x - 6) (x - 6) + 7] / (x - 6)
F(x) / d(x) = (x - 6) (x - 6) / (x - 6) + 7 / (x - 6)
F(x) / d(x) = (x - 6) + 7 / (x - 6),
Therefore, the Polynomial form of F(x) / d(x) is (x - 6) + 7 / (x - 6).
To know more about division:
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Question 8 - Find the mean
Answers
Answer:
3.6
Step-by-step explanation:
WE can add 0+2+2+2+2+3+3+3+4+4+4+4+4+5+5+5+5+5+5+5 to get 72. WE then divide by 20 and get 3.6
what is the scale factor from the image
Answers
reasoning: 5 is half of 10 so the scale factor is double which is 2
Martin and Eric are preparing to board a roller coaster together and pick their seats. Martin selects a seat first, and then Eric selects one from the available seats.
Are these two events dependent or independent? Justify the answer.
Answers
Answer:
independent
Step-by-step explanation:
The two events are independent because the seat that Martin selects does not affect the seats that are left for Eric to pick.
What Are Independent Events?An Independent Event is defined as if the outcome of one event has no bearing on the outcome of the other, the two events are said to be independent events. Or, we may say that an event is considered independent if it does not affect the probability of another event. Probability-independent events mirror actual occurrences.
Martin and Eric choose their seats as they get ready to ride a roller coaster together. Eric chooses a seat from the various options after Martin does.
Because Martin's choice of seat has no impact on the seats that Eric has left to choose from, the two events are independent of one another.
Hence, the two events are independent because the seat that Martin selects does not affect the seats that are left for Eric to pick.
Learn more about the Independent Events here:
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