Angle of Depression Worksheet

A Grade 11 Math worksheet focusing on understanding and calculating the angle of depression in various real-world scenarios.

Grade 11 Math TrigonometryAngle of Depression

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Includes

Short Answer2 CustomMultiple ChoiceFill in the BlanksTrue / False

Standards

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

Topics

MathTrigonometryAngle of DepressionGrade 11

8 sections · Free to use · Printable

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Angle of Depression Worksheet

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Read each question carefully and solve for the unknown. Show all your work. Round answers to two decimal places where necessary.

1. Define the 'angle of depression' in your own words. How does it relate to the angle of elevation?

2. A lifeguard is sitting on a tower 15 meters high. They spot a swimmer struggling in the water at a horizontal distance of 30 meters from the base of the tower. What is the angle of depression from the lifeguard to the swimmer?

3. From the top of a cliff 120 meters high, the angle of depression to a boat out at sea is 35 degrees. How far is the boat from the base of the cliff?

84.03 m

171.38 m

146.99 m

98.30 m

4. The angle of depression is always measured from a line of sight to an object below.

5. If the angle of depression from an airplane to a runway is 20 degrees, then the angle of elevation from the runway to the airplane is degrees.

6. A hot air balloon is 500 meters above the ground. The pilot observes a landing spot with an angle of depression of 25 degrees. Find the horizontal distance from the balloon to the landing spot. If the balloon continues to descend vertically for another 100 meters, what will be the new angle of depression to the same landing spot?

7. The angle of depression can be greater than 90 degrees.

True

False

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

True

False