Question

James notes the angle of elevation of the top of tower to be 30 degree if James is 100meter away horizontally from the base of the tower find the height of the tower?​

Answer 1

Answer:

h = 57.73 m

Step-by-step explanation:

We have,

The angle of elevation of the top of tower to be 30 degree

James is 100 m away horizontally from the base of the tower.

It is required to find the height of the tower.

Here, angle is 30 degree

Base, b = 100 m

Let h is the height of the tower. The relation between base and height is given by :

$\tan\theta=\dfrac{h}{b}\\\\h=b\times \tan\theta\\\\h=100\times \tan(30)\\\\h=57.73\ m$

So, the height of the tower is 57.73 m.