Question

A boat that is 2 miles offshore from a lighthouse is moving parallel to the coast. The light on the lighthouse is turning at the rate of 100 degree per minute.

How fast does the light appear to be moving when it hits the boat when the boat is 1 mile upshore from the lighthouse?

Answer 1

speed of light movement when boat is 1 mile from light house is 0.029 miles/sec

Explanation:

Given data:

distance of boat from light house is 2 miles

rate of turning of light is 100 degree per minute

w = 100 degree/min

`w = 100 * (\pi)/(180) rad/min`

w = 1.745 rad/min

w = 0.0290 rad/sec

speed of movement of light
`v = w* r`

`v = 0.029 * 1 = 0.029 mile/sec`

thus speed of light movement when boat is 1 mile from light house is 0.029 miles/sec