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 5.3, Problem 49E
(a)
To determine
How far above the ground will Domingo be when his seat reaches the top, if the radius of the Ferris wheel is 36 feet?
(a)
Expert Solution
Answer to Problem 49E
Explanation of Solution
Given information: Entertainment: Domingo decides to ride the Ferris wheel at the local carnival. When he gets into the seat that is at the bottom of the Ferris wheel, he is 4 feet above the ground.
Calculation:
He will be two radii and four feet or,
(b)
To determine
How far above the ground is Domingo when the Ferris wheel stops, if the Ferris wheel rotates
(b)
Expert Solution
Answer to Problem 49E
Explanation of Solution
Given information: Entertainment: Domingo decides to ride the Ferris wheel at the local carnival. When he gets into the seat that is at the bottom of the Ferris wheel, he is 4 feet above the ground.
Calculation:
Study the sketch for a minute. After a
4 + 36 = 40
If we subtract the length of this opposite side from 40, it will give us his height above ground.
For a 30-60-90 triangle, the short side is always half the hypotenuse. The hypotenuse is a radius so it is 36 feet so the short side is 18 feet. So he is 18 feet below the x-axis which was 40 feet.
So he is 22 feet above the ground.
(c)
To determine
How far above the ground is Domingo when the Ferris wheel rotates
(c)
Expert Solution
Answer to Problem 49E
Explanation of Solution
Given information: Entertainment: Domingo decides to ride the Ferris wheel at the local carnival. When he gets into the seat that is at the bottom of the Ferris wheel, he is 4 feet above the ground.
Calculation:
Study the sketch for a minute. After a
4 + 33 = 34
If we subtract the length of this opposite side from 34, it will give us his height above ground.
For a 30-60-90 triangle, the short side is always half the hypotenuse. The hypotenuse is a radius so it is 30 feet so the short side is 15 feet. So he is 15 feet below the x-axis which was 34 feet.
So he is 19 feet above the ground.
(d)
To determine
To write:An expression for the distance from the ground to Domingo after the Ferris wheel rotates
(d)
Expert Solution
Answer to Problem 49E
Explanation of Solution
Given information: Entertainment: Domingo decides to ride the Ferris wheel at the local carnival. When he gets into the seat that is at the bottom of the Ferris wheel, he is 4 feet above the ground.
Calculation:
Study the sketch for a minute. After a
4 + r
If we subtract the length of this opposite side from 4 + r, it will give us his height above ground.
For a 30-60-90 triangle, the short side is always half the hypotenuse. The hypotenuse is a radius so it is r feet so the short side is
So he is
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Ch. 5.1 - Prob. 1CFUCh. 5.1 - Prob. 2CFUCh. 5.1 - Prob. 3CFUCh. 5.1 - Prob. 4CFUCh. 5.1 - Prob. 5CFUCh. 5.1 - Prob. 6CFUCh. 5.1 - Prob. 7CFUCh. 5.1 - Prob. 8CFUCh. 5.1 - Prob. 9CFUCh. 5.1 - Prob. 10CFU
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