Angle of Elevation and Depression Trigonometry Quiz

A person standing 100 meters away from a tower observes the top of the tower at an angle of elevation of 30°. What is the height of the tower?

• 50 meters

• 57.74 meters

• 100 meters

• 173.21 meters

From the top of a lighthouse, an observer looks at a boat and finds the angle of depression to be 45°. If the lighthouse is 100 meters tall, how far is the boat from the base of the lighthouse?

• 100 meters

• 141.42 meters

• 70.71 meters

• 200 meters

A person looks up at an airplane, observing it at an angle of elevation of 60°. If the person is standing 1 km away from a point directly below the airplane, what is the altitude of the airplane?

• 1 km

• 2 km

Using the tangent ratio, find the angle of elevation to the top of a tree if the tree is 10 meters tall and the distance from the tree is 10 meters.

• 45°

• 30°

• 60°

• 90°

A ramp is inclined at an angle of 30° to the horizontal. If the length of the ramp is 50 meters, how high does the ramp reach?

• 25 meters

• 43.3 meters

• 50 meters

Find the length of the side adjacent to an angle of 60° in a right triangle if the hypotenuse is 10 meters long.

• 5 meters

• 10/2 meters

Using the sine ratio, calculate the angle of elevation when the opposite side is 7 meters and the hypotenuse is 25 meters.

• 16.26°

• 28.96°

• 45°

• 63.74°

A tree casts a shadow of 15 meters when the angle of elevation of the sun is 30°. Find the height of the tree.

• 8.66 meters

• 15 meters

• 26.79 meters

• 7.5 meters

Using the cosine ratio, find the length of the hypotenuse in a right triangle if one of the legs is 12 meters and the angle adjacent to this leg is 60°.

• 24 meters

• 12 meters

• 13.86 meters

• 6 meters

A person standing at the top of a hill observes a car at an angle of depression of 15°. If the hill is 200 meters high, how far is the car from the base of the hill?

• 743.14 meters

• 200 meters

• 517.64 meters

• 376.33 meters