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Angle of Depression Worksheet

A Grade 10 Math worksheet focusing on understanding and calculating the angle of depression in various real-world scenarios.

Grade 10 Math TrigonometryAngle of Depression
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

trigonometryangle of depressionright trianglesgrade 10 math
7 sections · Free to use · Printable
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Angle of Depression Worksheet

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Read each question carefully and show all your work. Round your answers to two decimal places where necessary.

1. The angle of depression is formed by the horizontal line of sight and the line of sight to an object that is:

a

Above the horizontal

b

Below the horizontal

c

At the same level as the horizontal

d

Perpendicular to the horizontal

2. If the angle of depression from a bird to a worm on the ground is 30 degrees, what is the angle of elevation from the worm to the bird?

a

30 degrees

b

60 degrees

c

90 degrees

d

150 degrees

3. The angle of depression is always measured from a   line.

4. When observing an object below your eye level, you are using the angle of  .

5. A person standing on top of a 50-meter-tall building observes a car on the ground at an angle of depression of 35 degrees. How far is the car from the base of the building?

Horizontal50 mx35°

6. An airplane is flying at an altitude of 2000 meters. The pilot observes a landmark on the ground with an angle of depression of 20 degrees. What is the horizontal distance between the airplane and the landmark?

Horizontal2000 mx20°

7. The angle of depression is always equal to the angle of elevation when looking at the same object from two different positions, assuming the two horizontal lines are parallel.

T

True

F

False

8. An angle of depression can be greater than 90 degrees.

T

True

F

False

9. From the top of a cliff 120 meters high, the angle of depression to a boat out at sea is 15 degrees. How far is the boat from the base of the cliff?

Horizontal120 mx15°