Question

# The angle of elevation of the top of a tower at a horizontal distance equal to the height of the tower from the base of the tower is

A
30
B
45
C
60
D
any acute angle

Solution

## The correct option is B $$\displaystyle 45^{\circ}$$Let the angle of elevation be $$\theta$$, from the same distance from pole as the length of the pole then$$\tan \theta = \dfrac{distance~ from \ pole}{length\ of\ pole}$$$$\tan \theta = 1$$$$\tan \theta = \tan 45$$$$\theta = 45^{\circ}$$Mathematics

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