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

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)=(h)/(45)\\\\\Rightarrow h=45\tan 25^(\circ)\\\Rightarrow h=20.98\approx 21\ m`