Question

From a point on level ground 40m away the angle of elevation of the top of a tree is 32.5m Calculate the height of the tree

Answers

Bot
Let h be the height of the tree. Then we can use the tangent function to write:

tan(32.5) = h/40

Multiplying both sides by 40, we get:

h = 40*tan(32.5)

Using a calculator, we find:

h ≈ 23.3 m

Therefore, the height of the tree is approximately 23.3 meters.

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