# A revolving searchlight, which is 100 m from the nearest point on a straight highway, casts a

## Question:

A revolving searchlight, which is 100 m from the nearest point on a straight highway, casts a horizontal beam along a highway (see figure). The beam leaves the spotlight at an angle of π/16 rad and revolves at a rate of π/6 rad/s. Let w be the width of the beam as it sweeps along the highway and θ be the angle that the center of the beam makes with the perpendicular to the highway. What is the rate of change of w when θ = π/3? Neglect the height of the searchlight.

Fantastic news! We've located the answer you've been seeking!

## Step by Step Answer:

**Related Book For**

## Calculus Early Transcendentals

**ISBN:** 978-0321947345

2nd edition

**Authors:** William L. Briggs, Lyle Cochran, Bernard Gillett