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Name ________________________________________ Date __________________ Class__________________ LESSON 10-3 Practice A Angles of Elevation and Depression In Exercises 1 and 2, fill in the blanks to complete the definitions. 1. An angle of elevation is the angle formed by a _______________ line and a line of sight to a point _______________ the line. 2. An angle of _______________ is the angle formed by a horizontal line and a line of sight to a point _______________ the line. Ben is on the diving board at the neighborhood pool. Jenna is in the pool, and a lifeguard sits at her station on the opposite end of the pool. Classify each angle as an angle of elevation or an angle of depression. 3. 1 ______________________ 4. 2 ______________________ 5. 3 ______________________ 6. 4 ______________________ Lisa sees a bird’s nest high in a tree. She decides to use trigonometry to estimate how high the nest is. 7. Lisa walks 15 feet from the base of the tree. She measures an angle of elevation from the ground to the nest of 62q. Find how high the nest is above the ground, to the nearest foot. _____________________________ 8. Lisa spots the mother bird on a branch above the nest. She measures an angle of elevation to the bird of 67q. Find how high the mother bird is above the ground, to the nearest foot. _____________________________ Zelda, a trapeze artist, stands on a 10-meter-high platform. 9. Zelda measures a 40q angle of depression to the base of the other platform. Find the distance between the bases of the platforms to the nearest tenth of a meter _____________________________ 10. Zelda’s partner, Zev, is on the ground doing a safety check on the net. Zelda measures a 79q angle of depression to Zev. Find the distance to the nearest tenth of a meter from Zev to the base of Zelda’s platform. _____________________________ © Houghton Mifflin Harcourt Publishing Company 289 Holt McDougal Analytic Geometry MN 6; PN | 8.49; mM 90q; mP 45°; mN 45° 13. MP 7. 28 feet 9. 11.9 meters 14. KL 7; LJ 3; JK | 7.62; mL 90°; mJ | 67°; mK | 23° 10. 1.9 meters Practice B 1. angle of elevation Challenge 3 1. 5 2. angle of depression 4 2. 3 3. angle of depression 4. angle of elevation 3. 53.1° 4. sin E 5 ; cos E 5 2 5 ; mE | 26.6° 5 5. sin M 1 ; tan M 2 3 ; mM 3 2 ; tan R 2 1; mR 45° 7. sin K 3 ; cos K 2 1 ; mK 2 60° 2. 22° to 27° 3. 64° 4. 34.9 ft 5. A 6. G 7. D 8. F 8. 1.8 m 1. 82 ft 10 in. 2. 5 ft 10 in. 3. 128 ft 8 in. 4. Possible answer: mC 38° and mADB 52°. These angles are complementary. So UABD a UACB. Lamar can use similarity ratios to find the AC AB AB 2 . or AC distance AC: AB AD AD Subtracting AD from AC leaves CD, the width of the river. 5. 7.5 m 6. 95.2 m 7. 9° or N 81° E; 17.9 km/h 1. finding the measures of all unknown sides and angles of the triangle §9· 2. mB tan1 ¨© 4 ¸¹ AB 7. 31 ft 10 in. Practice C Reading Strategies 4 6. 37 ft 1 in. 10. Mr. Shea lives above Lindsey. Problem Solving 1. 16° 5. 34 ft 2 in. 9. 65° 30° 6. cos R 3. sin 24° 8. 35 feet Reteach 4. 67°; 23°; 12 1. elevation 2. depression 3. depression 4. elevation 5. elevation 6. depression 7. depression 8. elevation 9. 11.5 m 10-3 ANGLES OF ELEVATION AND 10. 23 ft 11. 18 ft DEPRESSION 12. 35 ft Challenge Practice A 1. 1. horizontal; above 2. depression; below 3. angle of depression 4. angle of elevation 5. angle of depression 2. tan 6. angle of elevation T 21.4 31.4 3. 34.3q © Houghton Mifflin Harcourt Publishing Company A57 Holt McDougal Analytic Geometry