For the following problems, consider a lifeguard at a circular pool with diameter 40 m. He must reach someone who is drowning on the exact opposite side of the pool, at position C. The lifeguard swims with a speed u and runs around the pool at speed w = 3v. C 327. Find a function that measures the total amount of time it takes to reach the drowning person as a function of the swim angle, 8. 228 Find at what anglo A the lifeguard should swim to roach the drowning ho logot amount of time

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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For the following problems, consider a lifeguard at a circular pool with diameter 40 m. He must reach someone
who is drowning on the exact opposite side of the pool, at position C. The lifeguard swims with a speed u and runs
around the pool at speed w = 3v.
A
0
B
с
327. Find a function that measures the total amount of time it takes to reach the drowning person as a function
of the swim angle, 0.
328. Find at what angle the lifeguard should swim to reach the drowning person in the least amount of time.
Transcribed Image Text:For the following problems, consider a lifeguard at a circular pool with diameter 40 m. He must reach someone who is drowning on the exact opposite side of the pool, at position C. The lifeguard swims with a speed u and runs around the pool at speed w = 3v. A 0 B с 327. Find a function that measures the total amount of time it takes to reach the drowning person as a function of the swim angle, 0. 328. Find at what angle the lifeguard should swim to reach the drowning person in the least amount of time.
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