A kite is flying at a height of 60 m above the ground. The string is straight and makes an angle of 60° with the ground. Find the length of the string.

From the top of a tower 50 m high, the angle of depression of a car on the ground is 45°. Find the distance of the car from the foot of the tower.

As the sun rises higher in the sky, the length of the shadow of a tower:

The angle of elevation of the top of a building from a point on the ground is 30°. On walking 20 m towards the building the angle becomes 60°. Find the height of the building.

The shadow of a vertical pole is √3 times its height. Find the angle of elevation of the sun.

The angle of elevation of the top of a tower from a point on level ground 30 m from its foot is 60°. Find the height of the tower correct to two decimal places. (Take √3 = 1.732)

A ladder 10 m long leans against a wall and makes an angle of 60° with the ground. How high up the wall does it reach, and how far is its foot from the wall?