A front yard is being watered by a rotating sprinkler. One side of the yard has a white picket fence which extends from the end of the house to the road. The sprinkler is placed 4.2 m away from the end of the fence near the road. The angle between the fence and the line connecting the sprinkler and the end of the fence is 37.7°. The sprinkler has a spray of 3 m. What length of the fence is being sprayed by the water? Use trigonometry to solve.

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A front yard is being watered by a rotating sprinkler. One side of the yard has a white picket fence which extends from the end of the house to the road. The sprinkler is placed 4.2 m away from the end of the fence near the road. The angle between the fence and the sight line connecting the sprinkler and the end of the fence is 37.7°. The sprinkler has a spray of 3 m. What length of the fence is being sprayed by the water? Use trigonometry to solve (cosine, sine law and SOH CAH TOA). Answer should equal to 3.1 metres.