Question

The angle of a elevation of the top of a tree from an observer standing 10m away from the foot of the tree is 56°. Calculate the height of the tree.

Explain your answer pls,thx

Answer 1

14.83 meters

Explanation:

Given that :

Angle of elevation (α) = 56°

Distance between observer and foot of tree = 10 meter.

Height of tree =?

Using trigonometry :

The height (h) of the tree can be obtained using :

Tan α = opposite / Adjacent

Tan(56°) = h / 10

1.4825609 = h / 10

Multiply both sides by 10

1.4825609 * 10 = h

14.8256 = h

Hence, the height of the tree is 14.83 m(2 decimal places).