592 CHAPTER 5 Trigonometric Functions 27. Antenna Mast Guy Wire A guy wire 77.4 m long is attached to the top of an antenna mast that is 71.3 m high. Find the angle that the wire makes with the ground. 28. Height of a Flagpole To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7 ft from the base to the top is 32° 10′. What is the height of the flagpole? 29. Altitude of a Mountain The highest point in Texas is Guadalupe Peak. The angle of depression from the top of this peak to a small miner’s cabin at an approximate elevation of 2000 ft is 26°. The cabin is located 14,000 ft horizontally from a point directly under the top of the mountain. Find the altitude of the top of the mountain to the nearest hundred feet. 30. Distance between Two Ships Two ships leave a port at the same time. The first ship sails on a bearing of 32° at 16 knots (nautical miles per hour) and the second on a bearing of 122° at 24 knots. How far apart are they after 2.5 hr? 31. Distance of a Ship from a Pier A ship leaves a pier on a bearing of S 62° E and travels for 75 km. It then turns and continues on a bearing of N 28° E for 53 km. How far is the ship from the pier? 32. Find h as indicated in the figure. 168 m 41.2° h 52.5°
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