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Math · Precalculus
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solve the problem. 61) A room in the shape of a triangle has sides of length 18.5 yards, 147 yards, and 209 yards. If carpeting costs $21.83 per square yard, padding costs $2.30 per square yard, and there is no charge for installation, how much, to the nearest dollar, will it cost to carpet the room? 62) A triangular-shaped field has sides of 226.3 meters and 194.4 meters, and the angle between them measures 68.56 Find the area of the field. 63 A hot-air balloon is rising vertically ii ft/sec while the wind is blowing horizontally at 5 ft/sec. Find the angle that the balloon makes with the horizontal. 64) The sides of a parallelogram are 15 ft and 17 ft. One angle is 40 while another angle is 140°. Find the lengths of the diagonals of the parallelogram (to the nearest tenth of a foot). 65) Lookout station B is located 15 mi due east of station A. The bearing of a fire from A is S1020W and the bearing from Bis S32 50 W. Determine the distance from the fire to B (to the nearest tenth of a mile). 66) Two airplanes leave an airport at the same time, one going northwest at414 mph and the other going east at 345 mph. How far apart are the planes after 4 hours (to the nearest mile)? 67 To find the distance AB across a river, a distance BC 238 m is laid off on one side of the river It is found that B 105.1° and C 15.1 Find AB.
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