Angle of Depression Worksheet

This worksheet focuses on understanding and calculating the angle of depression in various real-world scenarios, aligned with Grade 12 trigonometry standards.

Grade 12 Math TrigonometryAngle of Depression

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Includes

Multiple Choice2 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.C.8

Topics

trigonometryangle of depressiongrade 12math

7 sections · Free to use · Printable

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Angle of Depression Worksheet

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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?

The horizontal line of sight and the line of sight to an object above.

The vertical line and the line of sight to an object below.

The horizontal line of sight and the line of sight to an object below.

The vertical line and the line of sight to an object above.

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?

Sine

Cosine

Tangent

Secant

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.

True

False

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

True

False

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?