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## Homework Statement

A searchlight is rotating from a point 'P' positioned 50m from the prison walls. The rotation of the light is represented by the equation d = 50sec2pi(t), where d is the distance in meters, from the light to the wall, and 't' is time in minutes.

a) graph the the path of light for 2 min

b) If the effective distance for the light is 100m, how many seconds elapse before the prison wall is not illuminated sufficiently?

c)How many seconds does it take for the light to become effective on the opposite wall?

## Homework Equations

***Diagram is attached

## The Attempt at a Solution

-i don't get how to graph this

-would it be correct to enter y = 50x/cos 2 pi in my graphing calculator?

b) so would you just do

100 = 50sec 2pi t

and solve for t

c) 50 = 50 sec 2pi t

and solve for t