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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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.
Using the right-triangle trigonometry identities, we have
.
Multiplying both sides by 100, we have
.
Therefore, the height of the tree is about 32.5 meters.