Question
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
Answers
Anonymous
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
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