Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet Page 26

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7. A surveyor 50 meters from the base of a cliff measures the angle of elevation to the top of the cliff as 72°.
What is the height of the cliff? Round to the nearest meter.
8. Grand Canyon Problem: From a point on the North Rim of the Grand Canyon, a surveyor measures an
angle of depression of 1º to a point on the South Rim. From an aerial photograph, he determines that the
horizontal distance between the two points is
10 miles. How many feet is the South Rim below the North Rim to the nearest foot? (Note: 1 mile = 5280
feet)
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9. At a point 125 feet from the base of a building, the angle of elevation to the third floor is 22° and to the 10
floor is 53°. How much higher is the tenth floor than the third floor?
12.
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