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A man in a boat rowing away from a light house 100m height , takes 2 min too change the angle of elevation of top of the light house from 60° to 45° find speed of boat?
.25 m/s
.35 m/s
12.5 m/s
Can't be determined
Height of the Light house , p = 100 m let initial distance be x m and the angle is 60° so, tan60° = p/x = 100/x or, √3 = 100/x or, x = 100/√3 m Now after time 2min let the new distance be y and angle is 45° so, tan45° = 100/y so, 1 = 100/y so, y = 100 m So, distance travelled in 2min = y - x = 100 - 100/√3 = 100 - 57.737 = 42.263 m So, d = 42.263 m t = 2 min = 2×60 = 120 sec speed = d/t = 42.263/120 m/s = 0.35219 m/s
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