A helicopter flying 1,600 feet above the ground spots an airplaneflying above. If the horizontal distance between the helicopter andairplane

Question

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

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Diễm Kiều 5 years 2021-08-14T20:46:21+00:00 1 Answers 17 views 0

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  1. minhkhue
    0
    2021-08-14T20:48:13+00:00
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    Answer:

    10472. 4 ft

    Step-by-step explanation:

    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

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