Question

If the angle of elevation of a cloud from a point 200 meter above a lake is ${30}^{\circ }$ and the angle of depression of its reflection in the lake is ${60}^{\circ }$ then the height of the cloud (in meters )above the lake is

• A. $200$
• B. $300$
• C. $500$
• D. $None$

Answer 1

The correct option is D $None$

$\tan 60°=\sqrt{3}=\frac{p}{b}$

$\tan 30°=\frac{\sqrt{3}}{3}=\frac{p}{b}$

$b=200\sqrt{3}$

$\tan 60°=\sqrt{3}=\frac{p}{200}$

$p=200\sqrt{3}$

height of the cloud (in meters )above the lake = $200+200\sqrt{3}$

Answer none