Grade 10 Angles of Elevation and Depression Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 10 Angles of Elevation and Depression Practice
Solve each problem. Show your work.
- 1.In a right triangle, the opposite side is 6.8 cm and the hypotenuse is 15 cm. Find angle θ. Round angles to the nearest degree.
- 2.In a right triangle, the opposite side is 13.4 cm and the hypotenuse is 19 cm. Find angle θ. Round angles to the nearest degree.
- 3.In a right triangle, the opposite side is 9.5 cm and the hypotenuse is 17 cm. Find angle θ. Round angles to the nearest degree.
- 4.In a right triangle, the opposite side is 18.2 cm and the hypotenuse is 21 cm. Find angle θ. Round angles to the nearest degree.
- 5.In a right triangle, the opposite side is 16 cm and the hypotenuse is 17 cm. Find angle θ. Round angles to the nearest degree.
- 6.In a right triangle, the opposite side is 12.7 cm and the hypotenuse is 24 cm. Find angle θ. Round angles to the nearest degree.
- 7.In a right triangle, the opposite side is 9.8 cm and the hypotenuse is 25 cm. Find angle θ. Round angles to the nearest degree.
- 8.In a right triangle, the opposite side is 11.4 cm and the hypotenuse is 19 cm. Find angle θ. Round angles to the nearest degree.
Show answer key
- Question 1: 27°
- Question 2: 45°
- Question 3: 34°
- Question 4: 60°
- Question 5: 70°
- Question 6: 32°
- Question 7: 23°
- Question 8: 37°
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About These Worksheets
Grade 10 students apply right-triangle trigonometry to indirect measurement problems involving height, distance, and line of sight.
Angles of elevation and depression worksheets apply right-triangle trigonometry to real measurement situations. Students calculate heights, distances, and sight lines using diagrams that represent looking up toward an object or down from a higher point. The math often uses SOHCAHTOA, but the challenge is building the triangle correctly from the words.
These worksheets include ladders, buildings, trees, cliffs, ramps, and observation points. Students practise identifying the horizontal line, placing the angle of elevation or depression, choosing the correct trig ratio, and interpreting the answer with units. They also learn that angles of depression are measured from a horizontal line downward, not from a vertical wall. This applied trig skill rewards careful diagrams and prepares students for navigation and bearing problems.
Skills Practised
- Drawing right-triangle diagrams from word problems
- Identifying angles of elevation and depression
- Choosing the correct trig ratio from the diagram
- Solving for heights and horizontal distances
- Labelling final answers with realistic units
Parent Tip: The diagram is usually more important than the arithmetic. Use the answer key for the number, and ask for a photo check when the angle placement or horizontal line is uncertain.