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Math 11

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From a window in a building 20 m above ground the angle of depression of the top of a statue across the street is 30 degrees, and the angle of depression of the base of the statue is 34. How tall is the statue?

  • Math 11 -

    I hope you made a diagram.

    label the window position P
    label the top of the statue T
    label the bottom of the statue B
    So we want TB

    I can find BP
    sin34° = 20/BP
    BP = 20/sin34

    let's use the sine law in triangle TBP
    TB/sin4 = BP/sin120
    TB = BPsin4/sin120
    = (20/sin34)(sin4/sin120)
    = appr 2.88 m

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