Isaac stands on the shoreline of a lake and looks to a campground across the lake. He uses a compass to determine that the campground is 60 degrees west of north. He then paddles his canoe north for a distance of 550m. He stops and determines that the campground is now 40 degrees west of south. Determine the distance to the campground from isaacs first position to the nearest metre.

TIA

asked by Jenny

8 years ago

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Draw a diagram. Using the law of sines, the distance x you want is

x/sin40 = 550/sin80

answered by Steve

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Question

Isaac stands on the shoreline of a lake and looks to a campground across the lake. He uses a compass to determine that the campground is 60 degrees west of north. He then paddles his canoe north for a distance of 550m. He stops and determines that the campground is now 40 degrees west of south. Determine the distance to the campground from isaacs first position to the nearest metre. 
TIA

Steve · Answer

Draw a diagram. Using the law of sines, the distance x you want is x/sin40 = 550/sin80