1. A tree is making a 12 m shadow on the ground, the angle of elevation is 30 degrees, what is the height of the tree?

6.93m

Explanation:

Using the method of SOH CAH TOA

The base of the tree is 12m which is the adjacent side of the triangle to be generated, the height of the tree will be facing the angle of elevation and it is the opposite side.

Using the formula tan(theta) = Opposite/Adjacent

Given theta = 30°

Adjacent is 12m which is the distance the tree is making with the shadow on the ground

Opposite side will be the height of the tree.

Tan(theta) = height/12

Tan30° = height/12

Height = 12tan30°

Height = 6.93m

Therefore the height of the tree is 6.93m

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