Angle of Elevation and Depression Worksheet

Angle of Elevation and Depression

Read each question carefully and solve for the unknown angle or side using the appropriate trigonometric ratios. Round your answers to two decimal places where necessary.

1. A ladder leaning against a wall makes an angle with the ground. If the ladder is 15 meters long and reaches a height of 12 meters on the wall, what is the angle of elevation of the ladder?

2. An observer stands 50 feet away from the base of a building. The angle of elevation to the top of the building is 60 degrees. How tall is the building?

3. From the top of a 100-meter cliff, the angle of depression to a boat at sea is 35 degrees. How far is the boat from the base of the cliff?

4. An airplane flying at an altitude of 5000 feet observes a landing strip. If the horizontal distance to the landing strip is 8000 feet, what is the angle of depression from the airplane to the landing strip?

5. Which of the following describes an angle of elevation?

6. If a person is looking down from a building at an object on the ground, the angle formed is called the:

7. The angle of elevation is measured from the   line to the line of sight when looking upwards.

8. The angle of depression is equal to the angle of elevation when viewed from the object's perspective due to   angles.

9. The angle of elevation is always formed below the horizontal line of sight.

10. In a right-angled triangle, the angle of depression from the top of the hypotenuse to the base is the same as the angle of elevation from the base to the top of the hypotenuse.