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NAME DATE 8-4 PERIOD Practice Trigonometry Find sin L, cos L, tan L, sin M, cos M, and tan M. Express each ratio as a fraction and as a decimal to the nearest hundredth. 1. ℓ = 15, m = 36, n= 39 N m L M n 3 , n = 24 2. ℓ = 12, m = 12 √# 5 sin L = − ≈ 0.38; 13 12 ≈ 0.92; cos L = − 13 5 ≈ 0.42; tan L = − 12 1 sin L = − = 0.50; 2 % √3 cos L = − ≈ 2 1 tan L = − or % √3 0.87; % √3 3 − ≈ 0.58; % √3 2 1 cos M = − = 0.50; 2 12 sin M = − ≈ 0.92; sin M = − ≈ 0.87; 12 ≈ 2.4 tan M = − tan M = √% 3 ≈ 1.73 13 5 ≈ 0.38; cos M = − 13 5 Find x. Round to the nearest hundredth. 64° 4. 5. 29 11 29° 32 x 41° x 25.36 22.55 x 24.15 Use a calculator to find the measure of ∠B to the nearest tenth. 7. 6. # 8. " 8 $ 25 $ # 39 14 " 7 " $ 30 # 60.3° 33.6° 9. GEOGRAPHY Diego used a theodolite to map a region of land for his class in geomorphology. To determine the elevation of a vertical rock formation, he measured the distance from the base of the formation to his position and the angle between the ground and the line of sight to the top of the formation. The distance was 43 meters and the angle was 36°. What is the height of the formation to the nearest meter? 79.7° 36° 43m 31 m Chapter 8 27 Glencoe Geometry Lesson 8-4 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 3.