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Name ________________________________________ Date __________________ Class__________________ LESSON 10-3 Practice B Angles of Elevation and Depression Marco breeds and trains homing pigeons on the roof of his building. Classify each angle as an angle of elevation or an angle of depression. 1. 1 _____________________ 2. 2 _____________________ 3. 3 _____________________ 4. 4 _____________________ To attract customers to his car dealership, Frank tethers a large red balloon to the ground. In Exercises 5–7, give answers in feet and inches to the nearest inch. (Note: Assume the cord that attaches to the balloon makes a straight segment.) 5. The sun is directly overhead. The shadow of the balloon falls 14 feet 6 inches from the tether. Frank sights an angle of elevation ______________________ of 67q. Find the height of the balloon. 6. Find the length of the cord that tethers the balloon. ______________________ 7. The wind picks up and the angle of elevation changes to 59q. Find the height of the balloon. ______________________ Lindsey shouts down to Pete from her third-story window. 8. Lindsey is 9.2 meters up, and the angle of depression from Lindsey to Pete is 79q. Find the distance from Pete to the base of the building to the nearest tenth of a meter. ______________________ 9. To see Lindsey better, Pete walks out into the street so he is 4.3 meters from the base of the building. Find the angle of depression from Lindsey to Pete to the nearest degree. ______________________ 10. Mr. Shea lives in Lindsey’s building. While Pete is still out in the street, Mr. Shea leans out his window to tell Lindsey and Pete to stop all the shouting. The angle of elevation from Pete to Mr. Shea is 72°. Tell whether Mr. Shea lives above or below Lindsey. _________________________________________________________________________________________ © Houghton Mifflin Harcourt Publishing Company 290 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