An airplane is flying in still air with an airspeed of 475 miles per hour. The plane is climbing at an angle of 16°. Find the rate at which the plane is gaining altitude. (Round your answer to four decimal places.)

Answers

Answer 1

Answer:

Rate of gaining altitude is ratio of height gained to time spent. The rate at which the plane is gaining altitude is 130.9 miles per hour.

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

$Rate = (y_2 - y_1)/(x_2 - x_1)$

where we have

$\rm when \: x=x_1, y = y_1\nwhen\: x = x_2, y= y_2$

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

For the given case, the rate at which the plane is gaining altitude is the ratio of the height it gains per unit time(here per hour).

Referring to the diagram attached below, as he will walk 475 miles per hour(which is constant, this can be taken as hypotenuse's length.

The length BC is the height the plane gain each hour as he covers 475 miles in slantdirection.

Using the sin ratio, and measuring from the angle A, we get:

$\sin(A)= (|BC|)/(|AC|)\n\n\sin(16^\circ) = (|BC|)/(475)\n\n|BC| \approx 0.2756 * 475 \approx 130.9 \: \rm miles\n\n$

Thus, the height gained by plane per hour is 130.9 miles.

Rate of height gaining = (new height - old height)/(1 hour)

Rate of height gaining = (old height + 130.9 miles - old height)/1 hour

Rate of height gaining = 130.9 miles per hour.

This is the rate at which the plane is gaining altitude(since it is ratio of how much height it gains to how much time is spent gaining that height)

Hence, The rate at which the plane is gaining altitude is 131.1 miles per hour.

Learn more about trigonometric ratios here:

brainly.com/question/22599614

Answer 2

Answer:

Answer:

130.9 miles per hour.

Step-by-step explanation:

sine 16 = x / 475 where x = rate of gaining altitude.

x = 475 sin 16

= 130.9 miles per hour.

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Scrooge-Oh! But he was a tight-fisted hand at the grindstone! Scrooge! a
squeezing, wrenching, grasping, scraping, clutching, covetous old
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a stone for sharpening knives
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1. How is language used in this extract to describe Scrooge?
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Answers

Answer:

Step-by-step explanation:

Which values represent the first two terms of the sequence: a1=2 and an = -2(an-1)^2?2, -8
-2, 16
-8, -128
16, 1024

Answers

Hello,

a(1)=2

a(2)=-2*(2)²=-2*4=-8

Answer A

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/5mHELP ME

Answers

-3/4m - 1/2 = 2 + 1/5m...to eliminate the fractions, u must multiply the equation by the common denominator....which in this case is 20.
Resulting in : -15m - 10 = 40 + 4m

Solve the equation
40=5(d - 2)

-2(x - 9)= -24

Answers

40=5d-10
first, you have to multiply 5 by D and-2 and then , you will get 40=5d-10
then you will combine like terms, like 40+10=5d
then you will get 50=5d and you divide 50 by 5 to get D only, and finally, you will get D=10.
the final answer is D=10

second question,
all you have to do is multiply-2 by x and -9
and then you get -2x+18=-24
then, you have to combine like terms like I did on the first one, which is -2x= -24-18 and then, you will get -2x=-42 and you have to divide 2 by -42 which is x=21
the final answer is x=21.

I am pre sure that it helped you. text me on messages on brainy if you have any questions that you want to ask me.

40 = 5(d - 2)
Then distribute the 5.
40 = 5d - 10
Add ten to both sides.
40 + 10 = 5d - 10 + 10
50 = 5d
Then divide 5 by both sides.
50/5 = 5d/5
Answer.
d = 10

~

Next equation.
-2(x - 9) = -24
Distribute the -2.
-2x + 18 = -24
Subtract 18 from both sides.
-2x + 18 - 18 = -24 - 18
-2x = -42
Then divide -2 by both sides.
-2x/-2 = -42/-2
Answer.
x = 21

You got the following scores on 3 tests: 84, 82, 98. What score must
you get on the 4th test if you want to
average a 90% for the 4 tests?
A. 94
B. 95
C. 96
D. 97
E. 98

Answers

Your answer is c. 96
I know this because if you go on the calculator and add up 84+82+98+96 its equals to 360 and 360 divided by four (since there are now four marks including the mark you need to get on the next test) and that equals to 90.

(in other terms)
84+82+98+96=360
360÷4=90
therefore, you need to get a score of 96 on your fourth test to receive an average of 90%

Factorize (4y-5)²+80y