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25 June, 09:09

A person 100 meters from the base of a tree, observes that the angle between the ground and the top of the tree is 18 degrees. Estimate the height h of the tree to the nearest tenth of a meter.

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  1. 25 June, 12:58
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    This is right angle trig. We know that ...

    cos (18°) x hypotenuse = 100

    hypotenuse = 100/cos (18°)

    hypotenuse = 105.15 meters approx.

    Because they want the height of the tree we want "sin (18°) x hypotenuse".

    sin (18°) x 105.15 = 32.5 meters approx.

    answer: 32.5 meters approx.
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