Draw the diagram.
If the horizontal distance from the hill to the tower is x, then if the tower's height is h, we have
50/x = tan45
(50-h)/x = tan30
eliminating x, we get
50 cot45 = (50-h) cot30
Now just solve for h
from the top of 50 metre high hill the angle of depression of the top and the bottom of a tower are 30°and45°.find the hight of the tower
1 answer
1 answer