Question

If a tower $30m$ high, casts a shadow $10\sqrt{3}m$ long on the ground, then what is the angle of elevation of the sun?

• A. ${60}^o$
• B. ${30}^o$
• C. ${45}^o$
• D. ${90}^o$

Answer 1

The correct option is A ${60}^o$

Given, Length = 30 m (Tower)

Base = $10\sqrt{3}$ m (Shadow)

We have to find the angle, lets take that A

So,

tan A = $\frac{Perpendicular}{Base}$

tan A = $\frac{30}{10\sqrt{3}}$

tan A = $\frac{3}{\sqrt{3}}$

tan A = $\sqrt{3}$

So, tan A = tan ${60}^o$

So, A = ${60}^o$