Angles of Elevation and Depression

A helicopter, flying at a constant altitude of 91 m,

sights the middle of a landing pad at an angle of

depression of 16° as shown in the diagram. How

far, in metres, must the helicopter travel to be

directly over the landing spot?

• 107m

• 317.4m

• 75m

• 238.1m

From the top of a cable car ride up a mountain, the angle of depression to the starting point is 26°. If the end of the ride is 150 m higher than the starting point, find the horizontal distance travelled. Give your answer to the nearest metre.

• 176m

• 201.3m

• 278.9m

• 307.5m

Amanda was standing 27 m away from a radio tower. She measures the angle of elevation from the ground to be 34°. What is the height of the tower to the nearest metre?

• 7m

• 18.2m

• 41.5m

• 61m

Michelle, a forestry officer on watch from a lookout 35 m above the ground, notices a small brush fire at an angle of depression of 16°. How far, in metres, would a fire fighting aircraft, directly over the lookout, need to fly to drop its load on the fire?

• 122.1m

• 142.1m

• 183.9m

• 208.2m

The angle of elevation to the top of a flagpole from a point on the ground 40 m away is 34°. Find the height of the flagpole.

• 18.67m

• 19.28m

• 26.74m

• 26.98m

Choose the correct answer. A 5.8 m tree casts a shadow across the ground. If the angle of elevation of the sun is 55°, the length of the shadow is:

• 12.2m

• 4.8m

• 7.1m

• 4.1m

The angle of depression from the top of a 70 m cliff to a boat out at sea is 18°. How far away is the boat from the base of the cliff?

• 88m

• 108.5m

• 215.4m

• 288.4m

The angle of elevation of a weather balloon at a height of 1.5 km is 34^o. How far (correct to the nearest metre) is the observer from being directly under the balloon?

• 2.22km

• 3.33km

• 4.44km

• 5.55km

A raft is 320 m from the base of a cliff. The angle of depression of the raft from the top of the cliff is 29^o. Find the height of the cliff, correct to the nearest metre.

• 101.2m

• 155.7m

• 177.4m

• 235.8m

From the top of a 200 m tower, the angle of depression of a car is 48^o. How far is the car from the foot of the tower Answer correct to the nearest metre.

• 180.1m

• 190.6m

• 200.1m

• 210.3m