Angle of Elevation and Depression Worksheet

Practice identifying and calculating angles of elevation and depression in real-world scenarios.

Grade 8 Math TrigonometryAngle of Elevation and Depression

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

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

Topics

trigonometryangleselevationdepressiongrade 8 math

7 sections · Free to use · Printable

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Angle of Elevation and Depression Worksheet

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Read each question carefully and determine if it involves an angle of elevation or depression. Solve for the missing angle or side using trigonometric ratios. Round your answers to one decimal place where necessary.

1. An observer stands 50 meters away from the base of a building. The angle formed between the ground and the top of the building is 30 degrees. What type of angle is this?

Angle of Depression

Angle of Elevation

Right Angle

Acute Angle

2. A lifeguard on a 10-meter tall tower spots a swimmer in distress at an angle of depression of 15 degrees. Which trigonometric ratio would you use to find the horizontal distance to the swimmer?

Sine

Cosine

Tangent

Secant

1. The angle of is formed when an observer looks upwards from a horizontal line to an object above.

2. The angle of is formed when an observer looks downwards from a horizontal line to an object below.

3. In a right-angled triangle, the side opposite the right angle is called the .

1. A ladder leans against a wall. The base of the ladder is 4 meters from the wall, and the angle of elevation of the ladder is 70 degrees. How long is the ladder? Show your work.

2. From the top of a cliff 120 meters high, the angle of depression to a boat at sea is 25 degrees. How far is the boat from the base of the cliff? Show your work.

1. The angle of elevation is always equal to the angle of depression when measured from the same two points.

True

False

2. When looking at an object below your horizontal line of sight, you are using an angle of elevation.

True

False

Match each term with its definition.

1. Angle of Elevation

a. The angle formed between a horizontal line and the line of sight to an object below.

2. Angle of Depression

b. The angle formed between a horizontal line and the line of sight to an object above.

3. Horizontal Line

c. An imaginary line extending straight out from the observer's eye, parallel to the ground.