An observer, 1.5 meter tall is 28.5 meter away from a chimney. The angle of elevation of the top of the chimney from his eyes is 45°. Height of the chimney is

Correct Answer: (A) 30 meter

Let $h$ be the height of the chimney above the observer's eye level. Using $\tan {45}^{\circ }=\frac{h}{28.5}$$\tan$ 45^$\circ$ = $\frac{h}{28.5}$, we find $h = 28.5$$\times$ 1 = 28.5 $\text{ m}$. Adding the observer's height of 1.5 m, the total height of the chimney is $28.5 + 1.5 = 30$$\text{ meters}$.