An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot clearance between them and a 2-inch vertical clearance with the ceiling. a. If the trucks are 8 feet wide and 12 feet tall, what is the smallest possible radius of the semicircle? b. What is the tallest 8-foot wide vehicle that can drive down the center of the tunnel

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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An architect designed a semicircular tunnel so that
two trucks can pass each other with a 3-foot clearance
between them and a 2-inch vertical clearance with
the ceiling.
a. If the trucks are 8 feet wide and 12 feet tall, what
is the smallest possible radius of the semicircle?
b. What is the tallest 8-foot wide vehicle that can
drive down the center of the tunnel?

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