Bidyut Guha Thakurta and Amitava Mitra Solutions for Exercise 1: EXERCISE 3

The height of a mobile tower is $50\sqrt{3} \mathrm{m}$. The angle of elevation of the top of the tower from a point at a distance $50 \mathrm{m}$ from the foot of the tower is

If the angle of elevation of the sun is $60°$, then the length of the shadow of a vertical pole of length $h$ meter is

The angle of elevation of a kite is $60°$ and the length of the string is $40\sqrt{3} \mathrm{m}$. Then the height of the kite from the ground is

If the angle of elevation of the sun is _____$°$ then lengths of a post and its shadow are equal.

The angle of elevation of the top of a tower from a distance of $20 \mathrm{m}$ from its foot is $60°$. Then the height of the tower is _____ $\sqrt{3}$ meter.

If the length of the shadow on the ground of a post is $\sqrt{3}$ times the length of the post then the angle of elevation of sun is _____$°$.

In a triangle $ABC$, $AD\perp BC$. If $\angle ABC=30°$ and $AB=10 \mathrm{cm}$, then $AD=$_____ $\mathrm{cm}$.

The height of a tower is $45\sqrt{3} \mathrm{m}$. The angle of elevation of the top of the tower from a point on the ground at a distance of $45 \mathrm{m}$ from the foot of the tower is _____$°$