Right Triangle Word Problems
This worksheet focuses on solving real-world problems using the principles of right triangles and trigonometry for Grade 10 students.
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Right Triangle Word Problems
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Read each problem carefully and solve it using your knowledge of right triangles and trigonometric ratios (sine, cosine, tangent). Show all your work. Round your answers to two decimal places where appropriate.
1. A ladder 15 meters long is leaning against a wall. The base of the ladder is 5 meters from the wall. How high up the wall does the ladder reach?
2. A kite is flying at an angle of elevation of 40° from the ground. If the kite string is 100 meters long, the height of the kite above the ground is approximately meters.
3. A flagpole casts a shadow 20 feet long when the angle of elevation of the sun is 60°. What is the approximate height of the flagpole?
11.55 feet
17.32 feet
34.64 feet
40.00 feet
4. An airplane is flying at an altitude of 5000 meters. The angle of depression from the airplane to a landing strip is 25°. How far is the airplane from the landing strip (slant distance)?
5. If the angle of elevation to the top of a tree from a point 30 feet away is 45°, then the height of the tree is also 30 feet.
True
False