Angle of Elevation/Depression

Find the angle of elevation in the following:

1. You are standing 15 metres away from a 30 metre high pole, and look at the top of the pole. What angle are you looking with?

2. Your friend is at the top of a building, 200 feet high, and he throws a line to you that is 250 feet long. You pull the line and stretch it from your friend to you. What angle are you looking up to your friend with?

3. A Bridge spans a 300 m wide river. There are two support cables, attached to the top of a 50 m column at either end of the river and then to the centre of the bridge. What angle does the support cable leave the bridge with?

4. A stunt rider needs to build a ramp that has an angled surface length of 50m, and will meet the top of a vehicle that is 8m high. What angle does the same angled surface need to be elevated with?





Find the angle of depression of the following:

1. A camera is mounted on a 10ft pole on the outside of a building, and is aimed at a spot that is, in a straight line from the lens of the camera, 15 metres away. What is the angle of depression for this camera to aim at the spot?

2. A door on the bottom of an aeroplane is 180cm long. When the plane lands, it is just 75cm clear of the ground. What is the maximum angle that the door can open?

3. You are looking up at a helicopter which is 45 m away. You look up at the pilot with an angle of 63 degrees, what is the angle of depression that would allow the pilot to look back at you?

4. A sniper is on the edge of a 53 foot high cliff and spots an enemy. Conveniently, there are grid lines on the ground which tell you that the enemy is exactly 72 feet away from the base of the cliff. What angle of depression would the sniper have to aim with to hit the enemy with his water balloon?