Question 978026: A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 4.00 m to the north, 2.10 m 44 degrees northeast, and 1.00 m at 35.0° west of south. Starting at the same initial point, an expert golfer could make the hole in what single displacement?
please I need your help
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Draw this and you have a vertical line going N for 4 meters
Then you have an internal angle of 136, which is the N and 46 degrees (the complement of 44 E of N.) That goes 2.1 meters. Those sides are a and b.
Side c has the hole, 215 degrees, or a 9 degree angle with the last shot (reciprocal bearing of 44 is 224).
Law of Cosines is c^2=a^2+b^2-2ab cos C
c^2= 16+4.41-2(4)(2.1) cos 136
c^2= 20.41-16.2(-0.7193)=20.41+11.65=32.06
c=sqrt(32.06)=5.66 meters
The first person used 7.10 meters, so this is 1.44 meters shorter.
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