A revolving beacon is situated 380 feet off a straight shore. If the beacon turns at 4.2 radians per minute, how fast does the beam sweep along the shore at (a) its nearest point (b) at a point 400 feet from the nearest point along the shore?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.1: Radian And Degree Measure
Problem 7ECP: The circular blade on a saw has a radius of 4 inches and it rotates at 2400 revolutions per minute....
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A revolving beacon is situated 380 feet off a straight shore. If the beacon turns at 4.2 radians per minute, how fast does the beam sweep along the shore at (a) its nearest point (b) at a point 400 feet from the nearest point along the shore?

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