Concept explainers
(a)
To find: The distance from the balloon to the soccer fields.
(a)
Answer to Problem 31E
18,885 feet to the soccer fields
Explanation of Solution
Given information: A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measures the angle of depression to the Groveburg soccer fields to be
Calculation:
We converted the angles to decimal form by dividing the minutes by 60. We subtracted the two angles of depression from 180 to get the angle between the lines of sight from the balloon to the soccer and football fields. It is
Since the horizontal line drawn is parallel to the ground, the angle from the football field to the balloon is an alternate interior angle with that side of the triangle and therefore equal to the angle of depression on that side (
Here is an updated sketch with only the triangle information we need.
Thus,18,885 feet to the soccer fields
(b)
To find: The distance from the balloon to the football field.
(b)
Answer to Problem 31E
7,369 feet to the football field
Explanation of Solution
Given information: Ballooning: A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measures the angle of depression to the Groveburg soccer fields to be
Calculation:
We converted the angles to decimal form by dividing the minutes by 60. We subtracted the two angles of depression from 180 to get the angle between the lines of sight from the balloon to the soccer and football fields. It is
Since the horizontal line drawn is parallel to the ground, the angle from the football field to the balloon is an alternate interior angle with that side of the triangle and therefore equal to the angle of depression on that side (
Here is an updated sketch with only the triangle information we need.
Thus,7,369 feet to the football field
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
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