Angle of Depression Worksheet

Angle of Depression Worksheet

Read each question carefully and provide the best answer. Show all your work for full credit. Round your answers to two decimal places where necessary.

1. The angle of depression is formed between which two lines?

2. If a person stands at the top of a 50-meter cliff and sees a boat at an angle of depression of 30 degrees, what trigonometric ratio would be most suitable to find the distance of the boat from the base of the cliff?

3. A lighthouse keeper observes a ship at sea. The top of the lighthouse is 75 meters above sea level. If the angle of depression to the ship is 15 degrees, calculate the horizontal distance between the lighthouse and the ship.

4. An airplane is flying at an altitude of 3000 meters. The pilot observes a landmark on the ground at an angle of depression of 20 degrees. What is the direct distance from the airplane to the landmark?

5. The angle of depression is always   to the angle of elevation when looking at the same object from different positions.

6. In a right-angled triangle, if you know the opposite side and the angle of depression, you can use the   function to find the adjacent side.

7. When solving problems involving angles of depression, it is crucial to identify the   line of sight.

8. The angle of depression is measured from the vertical line downwards.

9. If the angle of depression to an object increases, it means the object is moving closer to the observer.

10. From the top of a 120-foot observation tower, an observer spots a car on the road below. The angle of depression to the car is 28 degrees. How far is the car from the base of the tower?