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math

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A passenger in an airplane flying at an alti-
tude of 14 kilometers sees two towns directly
to the left of the plane. The angles of depres-
sion to the towns are 30◦ and 52◦.
How far apart are the towns?
Answer in units of ft.

  • math -

    Angle of depression is not enough, what azimuth bearings are they at? Maybe you mean at the same bearing...



    draw the figure, let x be the distance apart, h the height of plane, a the distance from the close town to just below airplane.

    h/a=tan52
    h/(x+a)=tan30

    You know h.

    first equation, solve for a.
    Put that in the second equation, solve for x.

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