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Angles of Elevation & Depression · Easy Worksheet 2

Angles of Elevation & Depression — Easy Worksheet 2

Grade 10 · MathSheets    Name: ____________________   Date: __________

Round lengths to the nearest tenth and angles to the nearest degree. Do not include units.

How to solve

An angle of elevation is measured up from the horizontal; an angle of depression is measured down from the horizontal, and it equals the angle of elevation from the other end (alternate interior angles). Sketch the right triangle, label the known side and the unknown, choose sin, cos or tan, and solve. Use inverse tangent (tan-1) to find an angle.

Example

You stand 14 ft from the base of a flagpole. The angle of elevation to the top of the flagpole is 47°. How tall is the flagpole?

47°14x

Answer: 15.0

right so far
1. You stand 13 ft from the base of a building. The angle of elevation to the top of the building is 39°. How tall is the building?
39°13x
2. From the top of a 32 ft cliff, the angle of depression to a boat is 59°. How far is the boat from the base of the cliff?
59°32x
3. You stand 25 ft from the base of a building. The angle of elevation to the top of the building is 22°. How tall is the building?
22°25x
4. A ladder leans against a wall and makes a 66° angle with the ground. The top of the ladder is 9 ft above the ground. How long is the ladder?
66°9x
5. From the top of a 42 ft lighthouse, the angle of depression to a boat is 42°. How far is the boat from the base of the lighthouse?
42°42x
6. You stand 16 ft from the base of a tree. The angle of elevation to the top of the tree is 63°. How tall is the tree?
63°16x
7. A kite string is 66 ft long and makes an angle of elevation of 32° with the ground. How high is the kite?
32°x66
8. From the top of a 59 ft cliff, the angle of depression to a boat is 48°. How far is the boat from the base of the cliff?
48°59x

/ right