Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Question
Chapter 10.2, Problem 46E
(a)
To determine
To write: An equation, centered at the origin, of the archway that models its shape.
(a)
Expert Solution
Answer to Problem 46E
Explanation of Solution
Given information: Transportation: A moving truck 7 feet wide and 13 feet high is approaching a semi-circular brick archway at an apartment complex. The base of the archway is 28 feet wide. The road under the archway is divided, allowing for two-way traffic.
Calculation:
Centered at the origin with a radius of 14 gives us:
(b)
To determine
To find: If the truck will be able to pass under the archway without damage, if the truck remains just to right of the median. Explain.
(b)
Expert Solution
Answer to Problem 46E
The truck will not be able to pass under archway without damage
Explanation of Solution
Given information: Transportation: A moving truck 7 feet wide and 13 feet high is approaching a semi-circular brick archway at an apartment complex. The base of the archway is 28 feet wide. The road under the archway is divided, allowing for two-way traffic.
Calculation:
If the truck is 7 feet wide and 13 feet tall,
Then drawing this into the semicircle, if the diagonal is greater than the radius (14) of the semicircle, the truck will NOT fit.
Therefore,
The truck will not be able to pass under the archway without damage.
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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