math

A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 18° with the horizontal. The flagpole casts a 14-meter shadow up the slope when the angle of elevation from the tip of the shadow to the sun is 21°.
(b) Write an equation involving the unknown quantity h.

(c) Find the height of the flagpole. (Round your answer to two decimal places.)
h = m

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  1. define
    point A is flagpole base
    Point B is flagpole top
    point C is where shadow ends up slope

    <ABC = 90-21 = 69
    <BAC = 90-18 = 72
    so
    <BCA = 180 - 69 - 72 = 39

    now law of sines
    sin 69 / 14 = sin 39 / h

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