Question

The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.

Answer 1

Answer: 21 m

Step-by-step explanation:

Given

the angle of depression of point G is $25^{\circ}$

Distance from pole base to point G is 45 m

Suppose h is the height of the pole

From the figure, we can write

$\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m$