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MrRa [10]
4 years ago
8

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. E

stimate the height h of the tree to the nearest tenth of a meter.
Mathematics
1 answer:
aleksandrvk [35]4 years ago
6 0

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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