A hiker travels at 3.9 mi/hr at a heading of S23°W from a ranger station. After 3.5 hours, how far south and?
A hiker travels at 3.9 mi/hr at a heading of S23°W from a ranger station. After 3.5 hours, how far south and how far west is the hiker from the ranger station?
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after one 3.5 h
3.9 mi/hr * 3.5 h = 13.65 mil
at S23°W ====> 180 + 23 = 203°
[ 13.65 * cos( 203 ) , 13.65 sin(203) ]
[ -12.56 , -5.33 ]
distance = √ ( (-12.56)^2 + ( -5.33)^2 ) = 13.65 miles
south = 13.65 sin(23) = 5.33 mil
west = 13.65 cos(23) = 12.56 mil
Get a map, find a ranger station and start walking. I'm not doing your homework for you.