Exam

NTA Abhyas

Year

2020

Subject

Mathematics

Chapter

Heights and Distances

NTA Abhyas 2020 · Mathematics · Heights and Distances

The angle of elevation of a cloud from a point 250m above a lake is...

The angle of elevation of a cloud from a point $250m$ above a lake is ${15}^{o}$ and angle of depression of its reflection in the lake is ${45}^{o}$. The height of the cloud is

Step-by-step solution

$h = 250$

$\alpha = {15}^{o}$

$\theta = {45}^{o}$

$x = \dfrac{hsin \left(\theta + \alpha\right)}{\sin \left(\theta - \alpha\right)}$

$= 250\dfrac{sin {60}^{o}}{sin {30}^{o}}$

$= 250\sqrt{3}$

&