Heights and Distance Quiz 1

The angle of elevation of the Sun when the shadow of a pole h m high is $\sqrt3$ h m long is

If $300\sqrt3\,m$ high tower makes an angle of elevation at a point on ground which is 300 m away from its foot, then the angle of elevation is

From the top of a 60 m high tower, the angle of depression of a point on the ground is $30^\circ.$ The distance of the point from the foot of tower is

The figure shows the observation of point C from point A. The angle of depression from A is

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a verticle pole to the ground, then the height of pole, if the angle made by the rope with the ground level is $30^\circ,$ is

A ladder, leaning against a wall, makes an angle of $60^\circ$ with the horizontal. If the foot of the ladder is 9.5 m away from the wall. The length of the ladder is

A ramp for disable people in a hospital have slope $30^\circ.$ If the height of the ramp be 1 m, then the length of ramp is

A pole 6 m high casts a shadow $2\sqrt3\,m$ long on the ground, then the Sun's elevation is:

If the height of a vertile pole is $\sqrt3$ times the length of its shadow on the ground, then the angle of elevation of the Sun at that time is:

The length of a string between a kite and a point on the ground is 85 m. If the string makes an angle $\theta$ with the ground level such that $tan\,\theta=\frac{15}8,$ then the kite is at what height from the ground?

The angle of depression of a car parked on the road from the top of 150 m high tower is $30^\circ.$ The distance of the car from the tower (in metres) is:

A ladder makes an angle of $60^\circ$ with the ground placed against a wall. If the foot of the ladder is 2 m away from the wall, the length of the ladder is

The shadow of a 5 m long pole is 2 m long. At the same time, the length of the shadow of a 12.5 m height tree is:

A pole caste a shadow of length $2\sqrt3\,m$ on the ground when the Sun's elevation is $60^\circ.$ The height of the pole is:

The length of verticle rod and its shadow are in the ratio $1:\sqrt3.$ The angle of elevation of the sun is: