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Two entrances E and F to a gym are located 1 m away from a wall AB of length 4 m which is perpendicular to the lines of sight EA and FB of entering visitors (see the diagram below). The gym wants to position a sanitizer at a point S on the wall between the points A and B (including, possibly, at the points A or B) so that the total angle 0 = ZAES + ZBFS, that the visitors from both entrances would need to rotate their head to directly see the sanitizer, is the smallest possible. Use inverse trig functions to find the optimal location(s) of S. Make sure you fully justify your reasoning. E 1 m A B 4 m

Two entrances E and F to a gym are located 1 m away from a wall AB of length 4 m which is perpendicular to the lines of sight EA and FB of entering visitors (see the diagram below). The gym wants to position a sanitizer at a point S on the wall between the points A and B (including, possibly, at the points A or B) so that the total angle 0 = ZAES + ZBFS, that the visitors from both entrances would need to rotate their head to directly see the sanitizer, is the smallest possible. Use inverse trig functions to find the optimal location(s) of S. Make sure you fully justify your reasoning. E 1 m A B 4 m

Calculus: Early Transcendentals
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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Two entrances E and F to a gym are located 1 m away from a wall AB of length 4 m which is perpendicular to the lines of sight EA and FB of entering visitors (see the diagram below). The gym wants to position a sanitizer at a point S on the wall between the points A and B (including, possibly, at the points A or B) so that the total angle 0 = ZAES + ZBFS, that the visitors from both entrances would need to rotate their head to directly see the sanitizer, is the smallest possible. Use inverse trig functions to find the optimal location(s) of S. Make sure you fully justify your reasoning. E 1 m 1 m A B 4 m
Transcribed Image Text:Two entrances E and F to a gym are located 1 m away from a wall AB of length 4 m which is perpendicular to the lines of sight EA and FB of entering visitors (see the diagram below). The gym wants to position a sanitizer at a point S on the wall between the points A and B (including, possibly, at the points A or B) so that the total angle 0 = ZAES + ZBFS, that the visitors from both entrances would need to rotate their head to directly see the sanitizer, is the smallest possible. Use inverse trig functions to find the optimal location(s) of S. Make sure you fully justify your reasoning. E 1 m 1 m A B 4 m
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