Question

a ladder is placed against a well such that it just reaches the top of the wall.the foot of the ladder is 1.5 m metere away from the wall and the ladder is inclined at an angle of${60}^{\circ }$ with the ground .find the height of the wall

Answer 1

Distance from the foot of ladder to wall $=1.5cm$

Angle made by ladder is ${60}^{\circ }$

Consider $\tan {60}^{\circ }=\frac{\text{Height of wall}}{\text{Distance from foot of ladder to wall}}\sqrt{3}=\frac{\text{Height of wall}}{1.5}\text{Height of wall}=1.5\sqrt{3}$