A beacon on a lighthouse 1 mile from shore revolves at the rate of 10TT radians per minute. Assuming that the shoreline is straight, calculate the speed at which the spotlight is sweeping across the shoreline as it lights up the sand 2 miles from the lighthouse. (Hint: In Figure 3.39, x is the coordinate of the point on the shore at which the light shines. Thus dx/dt is the speed of the image of the spotlight moving across the shoreline, and d0/dt = 10.)

A beacon on a lighthouse 1 mile from shore revolves at the rate of 10TT radians per minute. Assuming that the shoreline is straight, calculate the speed at which the spotlight is sweeping across the shoreline as it lights up the sand 2 miles from the lighthouse. (Hint: In Figure 3.39, x is the coordinate of the point on the shore at which the light shines. Thus dx/dt is the speed of the image of the spotlight moving across the shoreline, and d0/dt = 10.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.1: Angles

Problem 48E

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