5. +o1 points1 Previous Answers SPreCalc7 8.6.048 My Notes Ask Your Two tugboats

Question

5. +o1 points1 Previous Answers SPreCalc7 8.6.048 My Notes Ask Your Two tugboats that are a = 145 ft apart pull a barge, as shown. If the length of one cable is b = 216 ft and the length of the other is c = 225 ft, find the angle formed by the two cables. (Round your answer to the nearest degree.) 53 A a Need Help?Resd t 6. -1 points SPreCalc7 6.6.049. My Notes O Ask Your A boy is flying two kites at the same time. He has a = 350 ft of line out to one kite and b = 420 (Round your answer to the nearest foot.) to the other. He estimates the angle between the two lines to be 30°. Approximate the distance between the kites. ft 30

Explanation / Answer

1) a = 145 ft

b = 216 ft

c = 225 ft

applying law of cosines to find the angle

145^2 = 216^2 + 225^2 - 2* 216 * 225 cos theta

cos theta = [ 145^2 - 216^2 - 225^2 ] / ( -2 * 216 * 225 )

theta = 38 degrees

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