Vicente is sitting at his lifeguard station on the beach when he sees a swimmer signaling for help. The swimmer is 145 feet out to sea, on a straight line between the swimmer and the shore, and Vicente's station is 240 feet down the beach from the nearest point on shore to the swimmer. (See diagram, which is for illustrative purposes only and not to scale.) 145 240 Vicente can swim at a rate of 3 feet per second and can run at 6 feet per second along the beach. a. How far should Vicente run from his tower down the beach, before entering the water and swimming the rest of the way, to get to the swimmer as fast as possible? (If necessary, round result to 1 decimal place.) ft.
Vicente is sitting at his lifeguard station on the beach when he sees a swimmer signaling for help. The swimmer is 145 feet out to sea, on a straight line between the swimmer and the shore, and Vicente's station is 240 feet down the beach from the nearest point on shore to the swimmer. (See diagram, which is for illustrative purposes only and not to scale.) 145 240 Vicente can swim at a rate of 3 feet per second and can run at 6 feet per second along the beach. a. How far should Vicente run from his tower down the beach, before entering the water and swimming the rest of the way, to get to the swimmer as fast as possible? (If necessary, round result to 1 decimal place.) ft.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Vicente is sitting at his lifeguard station on the beach when he sees a swimmer signaling for help. The
swimmer is 145 feet out to sea, on a straight line between the swimmer and the shore, and Vicente's
station is 240 feet down the beach from the nearest point on shore to the swimmer. (See diagram, which is
for illustrative purposes only and not to scale.)
145
240
Vicente can swim at a rate of 3 feet per second and can run at 6 feet per second along the beach.
a. How far should Vicente run from his tower down the beach, before entering the water and swimming the
rest of the way, to get to the swimmer as fast as possible? (If necessary, round result to 1 decimal place.)
ft.
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