Grade 12 Right Triangle Word Problems Worksheet
Solve real-world problems involving right triangles and trigonometry.
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Right Triangle Word Problems
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Read each problem carefully. Draw a diagram for each problem if it helps. Show all your work and round your answers to two decimal places unless otherwise specified.
1. A ladder leans against a wall. The foot of the ladder is 5 feet from the wall. The ladder makes an angle of 68 degrees with the ground. How long is the ladder?
2. A boat leaves the harbor and sails 15 miles east, then turns and sails 20 miles north. How far is the boat from the harbor?
3. The trigonometric ratio that relates the opposite side to the hypotenuse is the .
4. In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This is known as the theorem.
5. A kite is flying at an angle of elevation of 40 degrees. The string to the kite is 100 feet long. How high is the kite above the ground?
64.28 feet
76.60 feet
86.60 feet
93.97 feet
6. The angle of depression is always measured from a horizontal line looking downward.
True
False