Tutorial Exercise A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is filled with water at a rate of 14 ft/min, how fast is the water level rising when the water is 7 inches deep? Step 1 Let h be the water's height and b be the distance across the top of the water. Using the diagram below, find the relation between b and h. 3 b. h 3 1

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.4: Zeros Of Polynomial Functions
Problem 12ECP
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Tutorial Exercise
A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and
have a height of 1 ft. If the trough is filled with water at a rate of 14 ft/min, how fast is the water level rising
when the water is 7 inches deep?
Step 1
Let h be the water's height and b be the distance across the top of the water. Using the diagram below, find
the relation between b and h.
3
h
3
1
Transcribed Image Text:Tutorial Exercise A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is filled with water at a rate of 14 ft/min, how fast is the water level rising when the water is 7 inches deep? Step 1 Let h be the water's height and b be the distance across the top of the water. Using the diagram below, find the relation between b and h. 3 h 3 1
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