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NAME 10-6 DATE PERIOD Word Problem Practice 1. WASHINGTON MONUMENT Jeannie is trying to determine the height of the Washington Monument. If point A is 765 feet from the monument, and the angle between the ground and the top of the monument at point A is 36°, find the height h of the monument to the nearest foot. 556 ft 5. TELEVISIONS Televisions are commonly sized by measuring their diagonal. A common size for widescreen plasma TVs is 42 inches. # 42’’ # h 16 h 9 " $ h 36° $ 765 ft a. A widescreen television has a 16:9 aspect ratio, that is, the screen width " 16 times the screen height. Use the is − Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 9 Pythagorean Theorem to write an equation and solve for the height h of the television in inches. 2. AIRPLANES A pilot takes off from a runway at an angle of 20º and maintains that angle until it is at its cruising altitude of 2500 feet. What horizontal distance has the plane traveled when it reaches its cruising altitude? 6869 ft 2 (9 ) 16 − h + h2 = 422; h = 20.6 in. b. Use the information from part a to solve the right triangle. width = 36.6 in., m∠A = 29°, m∠B = 61° 3. TRUCK RAMPS A moving company uses an 11-foot-long ramp to unload furniture from a truck. If the truck bed is 3 feet above the ground, what is the angle of incline of the ramp to the nearest degree? 16° c. To the nearest degree what would the measure of angle BAC be on a standard television with a 4:3 aspect ratio? 37° 4. SPECIAL TRIANGLES While investigating right triangle KLM, Mercedes finds that cos M = sin M. What is the measure of angle M? 45° Chapter 10 41 Glencoe Algebra 1 Lesson 10-6 Trigonometric Ratios