1. | In triangle ABC, angle C is a right angle, BC = 3, and AC = 4. Find AB. |
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2. | From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the distance from the boat to the foot of the lighthouse. The lighthouse was built at sea level. |
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3. | In triangle BCA: BC = 8; CA = 15; AB = 17. Angel C is a 90 degree angle. Write cos A. |
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4. | A wheelchair ramp needs to be pitched at 30^{o}. If the ramp is to access a 25-inch step to a door, what will the length of the ramp be? (Round to the nearest inch.) |
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5. | What is the definition of "tangent"? |
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6. | How far up the side of a house will a 16-foot ladder reach if the base of the ladder is 8 feet from the house? |
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7. | One leg of a right triangle is 4 meters and the hypotenuse is 8 meters. The approximate length of the second leg is _____________. |
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8. | Rita drew right triangle GHK on a sheet of notebook paper. ___ GH = 3 cm (LL) ___ GH = 5 cm (Hypotenuse) To the nearest centimeter, what is the perimeter of the triangle? |
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9. | Which of the following could be the lengths of the sides of a patio in the shape of a right triangle? |
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10. | In a 45°-45°-90° triangle, the ratio of the length of the hypotenuse to the length of a side is _____. |
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11. | What is the definition of "cosine"? |
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12. | What is the length of the diagonal of a square with side lengths 7 times the square root of 2? |
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13. | What is the definition of "sine"? |
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14. | In a 30°-60°-90° triangle, the ratio of the length of the hypotenuse to the length of the shorter side is _____. |
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15. | If the side lengths of a triangle are 7, 6, and 9, the triangle is _____. |
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