A 15-meter long ladder reached a window, x meter high from the ground when placed against a wall at a distance of y meter. If the angle between ladder and ground is $30^\circ$, then about x and y which of the following is true?

The correct answer is (A) x = 7.5 meter, y = 15$\sqrt{3}$/2 meter.

• Let the ladder form the hypotenuse of length $L = 15$$\text{ m}$ against the vertical wall at an angle $\theta ={30}^{\circ }$$\theta$ = 30^$\circ$ with the horizontal ground:
• The height reached up the wall $x = L$$\sin$ 30^$\circ$ = 15 $\times$ $\frac{1}{2}$ = 7.5 $\text{ meters}$.
• The distance from the wall along the ground $y = L$$\cos$ 30^$\circ$ = 15 $\times$ $\frac{\sqrt{3}}{2}$ = $\frac{15\sqrt{3}}{2}$ $\text{ meters}$.