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Math Help - rate problem

  1. #1
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    rate problem

    A high-performance jet plane, practicing radar avoidance maneuvers, is in horizontal flight of h = 35 m above the level ground. Suddenly, the plane encounters terrain that slopes gently upward at 4.3, an amount difficult to detect (see Figure 2-22). How much time does the pilot have to make a correction to avoid flying into the ground? The speed of the plane is 750 km/h.



    So looking at my triangle. 4.3 degrees for the hill.. line z is the hill and line x is the distance from the plane to the hill. Ok right? so to solve for line x i take the
    tan(4.3 degrees) = (opp/adjacent)
    so that is
    tan(4.3deg)= x/35m

    and then to solve for x u multiply the 35m and u get:

    x= tan4.3deg * 35m = 2.631meters. and right here i know i am wrong cause i know the answer for x is 465.4 meters..
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  2. #2
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    ah ha solved it... incase anyone is wondering aswell here is a reply from a freind on what i did wrong..

    "
    you drew the picture wrong.
    4.3 degrees slope means 4.3 degrees from horizontal in your picture.
    That corner angle should be 85.7 degrees, not 4.3
    "
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  3. #3
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    Angle is 90 - 4.3 = 85.7 degrees.

    x/35 = tan (85.7)

    x = (35). tan (85.7)

    x= 465.4 metres

    Now speed = 750 km/h =\frac{750 \times 1000}{60 \times 60} m/s

    = 208.33 m/s

    Time taken by plane = \frac {distance}{speed}= \frac {465.4}{208.33}

    = 2.2 seconds.
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