R. D. Sharma Solutions for Chapter: Height and Distance, Exercise 3: MULTIPLE CHOICE QUESTIONS (MCQs)

If a $1.5 \mathrm{m}$ tall girl stands at a distance of $3 \mathrm{m}$ from a lamp-post and casts a shadow of length $4.5 \mathrm{m}$ on the ground, then the height of the lamp-post is

The length of shadow of a tower on the plane ground is $\sqrt{3}$ times the height of the tower. The angle of elevation of sun is

The angle of depression of a car, standing on the ground, from the top of a $75 \mathrm{m}$ tower, is $30°$. The distance of the car from the base of the tower (in $\mathrm{metres}$) is

A ladder $15 \mathrm{m}$ long just reaches the top of a vertical wall. If the ladder makes an angle of ${60}^{°}$ with the wall, then the height of the wall is

The angle of depression of a car, parked on the road from the top of a $150 \mathrm{m}$ high tower is $30°$. The distance of the car from the tower (in metres) is

If the height of a vertical pole is $\sqrt{3}$ times the length of its shadow on the ground, then the angle of elevation of the Sun at that time is

The angle of elevation of the top of a tower at a point on the ground $50 \mathrm{m}$ away from the foot of the tower is $45°$. Then the height of the tower (in metres) is

A ladder makes an angle of ${60}^{\mathrm{o}}$ with the ground when placed against a wall. If the foot of the ladder is $2 \mathrm{m}$ away from the wall, then the length of the ladder (in metres) is