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. ${30}^{\circ }$
• B. ${45}^{\circ }$
• C. ${60}^{\circ }$
• D. any acute angle

Answer 1

The correct option is B ${45}^{\circ }$

Let the angle of elevation be $\theta$, from the same distance from pole as the length of the pole then
$\tan \theta =\frac{distancefrompole}{lengthofpole}$
$\tan \theta =1$
$\tan \theta =\tan 45$
$\theta ={45}^{\circ }$