draw a diagram. Clearly
cos(x) = 500/d, so
d = 500/cos(x)
Now just plug in whatever x value you have.
A lighthouse with a rotating beam is located 500m south of a coastal cliff that runs west to east
a) determine a relation for the distance from the lighthouse to the point the light strikes the cliff in terms of the angle of rotation x
b) determine an exact expression for this distance x = 5pi/12
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