Angle of Elevation and Depression Worksheet

Angle of Elevation and Depression

Read each problem carefully and solve for the unknown angle or side. Round your answers to two decimal places where necessary.

1. A person standing 50 meters away from the base of a building observes the top of the building at an angle of elevation of 35 degrees. Calculate the height of the building.

2. A ladder is leaning against a wall. The base of the ladder is 3 meters from the wall, and the angle of elevation of the top of the ladder is 60 degrees. How long is the ladder?

3. From the top of a cliff 100 meters high, the angle of depression to a boat out at sea is 25 degrees. How far is the boat from the base of the cliff?

4. An airplane flying at an altitude of 5000 feet observes a runway at an angle of depression of 15 degrees. What is the horizontal distance between the airplane and the runway?

5. The angle of elevation is measured upwards from the horizontal line.

6. The angle of depression is always equal to the angle of elevation when observed from opposite ends of the same horizontal line.

7. If the angle of elevation of the sun is 40 degrees, and a tree casts a shadow of 20 meters, what is the approximate height of the tree?

8. A bird is flying at a height of 100 meters. A person on the ground observes the bird at an angle of elevation of 60 degrees. What is the horizontal distance between the person and the bird?