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8.4 Basic Trigonometric Functions PRACTICE Find the value of the trig functions indicated. 1 2. 3. 13 20 sin a = B 12 16 12 8 sin 8 = 10 sin a = COS 0 = tan a = tan 8 = tan 8 = COS B = Find the measure of the indicated side. Round to the nearest hundredth. 4 5. 6. B. 12.4 Given ADEF where ZD is a right 52 angle. Find fif mZE = 16 and e = 4. (Draw a picture!) Find the measure of the indicated angle. Round to the nearest hundredth. 7. 8. 9. Given ADEF where ZD is a right C angle. Find mZE ife = 11.7 and 10.5 f=8. (Draw a picture!) Solve each triangle. Round to the nearest hundredth. 10. 11. 12. Given ADEF where ZD is a 15 right angle and myF = 35 5 and d = 16. (Draw a picture!) 12 28Label the picture given and then solve it. If no picture is given, draw your own and solve! 13. The angle of depression is measured from the top of a 14. The entrance of the old town library is 2.3 ft above 43 ft tower to a reference point on the ground. Its value is ground level. A ramp from the ground level to the found to be 63". How far is the base of the tower from the library entrance is scheduled to be built. The angle of point on the ground? elevation form the base of the ramp to its top is to be 150. Find the length of the ramp 15. A closed circuit TV camera is mounted on a wall 7.4 ft |16. A jet took off at a rate of 260 ft/'s and climbed in a above a security desk in an office building. It is used to straight path for 3.2 min. What was the angle of ele view an entrance door 9.3 ft from the desk. Find the angle vation of its path if its final altitude was 12,000 ft? of depression from the camera lens to the entrance door. 17. The angle of elevation from the bottom of the world's 18. The extension ladder on top of a 6 ft high hook and largest slide located in Peru, Vermont, is approximately ladder truck is 150 ft long. If the angle of elevation of 10.3. The slide has a vertical drop of 821 ft. Find the the ladder is 70", to what height on a building will the length of the slide. ladder reach? 19. A rectangle is 14 cm wide and 48 cm long. Find the 20. The Statue of Liberty stands on a 150 ft pedestal. measure of the angles on either side of the diagonals. From a point 280 ft from the base of the pedestal, the angle of elevation to the top of Liberty's torch is 47. Find the height of the statue