Question

A 80 m long ladder is leaning on a wall. If the ladder makes an angle of ${45}^o$ with the ground, find the distance of the ladder from the wall.

• A. $40\sqrt{2}m$
• B. $20\sqrt{3}m$
• C. $50\sqrt{3}m$
• D. None of these

Answer 1

The correct option is A $40\sqrt{2}m$

Here, $\cos \theta =\frac{Base}{Hypotenuse}$

$\cos {45}^o=\frac{Base}{80}$

$Base=80\cos {45}^o=\frac{80}{\sqrt{2}}=40\sqrt{2}$

Therefore, Distance of the ladder from the wall $=40\sqrt{2}\text{m}$