Question

Two observers are 300 ft apart on opposite sides of a flagpole. The angles of elevation from the observers to the top of the pole are 16degrees and 20degrees. Find the height of the flagpole.

Answer 1

Answer:

h = 48.077 ft

Explanation:

given,

distance between two observer = 300 ft

angle of elevation to top pole = 16° and 20°

height of the flagpole = ?

now,

Let h be the height of the flagpole

Let x be the distance of the pole

$tan 16^0 = \dfrac{h}{x}$

$x =\dfrac{h}{tan 16^0}$

now,

again applying

$tan 20^0 = \dfrac{h}{300-x}$

$300-x=\dfrac{h}{tan 20^0}$

$300-3.49 h=2.75 h$

$6.24h = 300$

h = 48.077 ft