Answer:
14.83 meters
Step-by-step 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).
