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Landon is lying in the grass looking at the top of a tree that is 200 m away. The angle of elevation between Landon's head and the top of
the tree is 36 degrees.
What is the height of the tree?
O 145 m
O 275 m
O 118 m
162 m
200 m

Respuesta :

The height of the tree which is the opposite side of the right triangle is 145 meters.

How to find height when given angle of elevation?

The angle of elevation is 36 degrees.

The situation forms a right angle triangle.

Therefore,

base of the triangle = 200 m

Hence, using trigonometric ratios,

tan 36 = opposite / adjacent

tan 36 = x / 200

x = 200 tan 36

x = 200 × 0.726542528

x = 145.308505601

x = 145.31 m

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