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 :
[tex]\tan\theta=\dfrac{h}{b}\\\\h=b\times \tan\theta\\\\h=100\times \tan(30)\\\\h=57.73\ m[/tex]
So, the height of the tower is 57.73 m.
