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A helicopter flying 1,600 feet above the ground spots an airplane flying above. If the horizontal distance between the helicopter and airplane is 3,055 feet and the angle of elevation is 71°, find the airplane’s altitude.

Guest May 3, 2018
 #1
avatar+88871 
+1

Let the height of the plane above the helicopter be "h"

 

We have a right triangle  where  the side opposite the 71 degree angle  =  h   and the side adjacent to this angle =  3055

 

So   we can use the tangent here

 

tan (71)  =  h / 3055       multiply both sides by 3055

 

3055 * tan (71)  =  h ≈   8872.4  ft

 

So.......the total altitude of the plane is

 

1600 + 8872.4  =

 

10472. 4 ft

 

 

cool cool cool

CPhill  May 3, 2018
 #2
avatar+1357 
+6

it's 10472.4ft

IAmJeff  May 3, 2018
 #3
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The diagonal of a rectangle is 11.3 inches and the width of the rectangle is 5 inches. What is the perimeter of the rectangle?

Guest May 7, 2018

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