Question

a flag attached to pole falls down and makes an angle of 15 degree with the ground and distance from the root of the pole to the point where the top of the flag touches the ground is 15m. what is the height of the flag ?

Answer 1

$\huge{\underline{\mathtt{\blue{❥A}\pink{N}\green{S}\red{W} \blue {E}\purple{R}}}}$

$tan25 = \frac{a}{40}$

so

$a = 40 \: \: tan 25 = 18.65m$

so total height of flagpole is

18.65m+1.8m=20.45

Answer 2

We know that there is a right angle between the ground and the building. Therefore, we can use the 3 basic trig ratios instead of the sine or cosine law to solve this problem.

Since the angle in the corner of the larger right triangle measures

42

˚

, the top angle in this triangle measures

.

By basic trig ratios, we can find the height of the building with the flag pole on top, call it

H

.