The angle of elevation of the top of a building is 25 from a point 80m away on level ground. Calculate the height of the building to 2 significant figures.

A skier took 56s to traverse down the snowy slopes of a 300m high hill. Using the diagram below, if the skier traversed from point S to point Uand the angle of depression from S to U is 60°, find the speed, in km/h, at which he came down the slopes. Correct the answer to 3 significant figures.

In the diagram below, a closed-circuit security camera, C, in a museum is mounted on a wall 9m above the floor, G. What is the angle of depression of the exhibit, E, from C, given that E is 2m above the floor, H, and 12m from the wall? Correct the answer to 1 decimal place.

From the top of a building, a boy is watching a lizard on the ground. If the angle of depression of the lizard is 45° and the lizard is 15m away from the building, how high is the building to the nearest metres?

A man who is 2m tall is looking at the top of a pole at an angle of elevation of 45°. If the man is 10m away from the foot of the pole, calculate the length of the pole.

A 1.8m tall man is walking inside a tunnel. He shines the torchlight on his helmet upward at an angle of 35° to a point Q at the top of the tunnel as shown in the diagram below. Given that the horizontal distance of OP is 7m, what is the height of the tunnel, correct to 3 significant figures?

the diagram below, an aeroplane, P, cruising at an altitude of 10km begins its landing at Changi Airport, denoted by C, at an angle of depression of 10°.
Find the horizontal distance between the aeroplane and Changi Airport when the aeroplane begins its landing, correct to 3 significant figures

A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall?

A 20-foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the base of the wall. What is the approximate measure of the angle the ladder forms with the ground?

The angle of elevation of the top of a tower from a point Q at ground level is 45°. If the tower is 20m high, how far is the bottom of the tower from Q?

A man on the ground looking up at a plane, and a pilot looking down at the man on the ground. The plane is 300 metres off the ground, and the angle of depression is approximately 19 degrees. What is the angle of elevation to the nearest whole degree?

The angle of elevation of the top of a tree from a point on the level ground is 45°. If the tree is 12m high, calculate the length from the foot of the tree to the point on the level ground where this observation was made.

A man stands at the top of a building 40 meters tall. He observers that the angle of elevation of the top of a tower, 50 meters away, is 20 degrees.  What is the height of the tower? 

In the diagram below, an aeroplane, P, cruising at an altitude of 10km begins its landing at Changi Airport, denoted by C, at an angle of depression of 10°.
find the distance CP, correct to 3 significant figures