Concept explainers
Height of a Balloon A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 20° and 22°. How high is the balloon?
To find: The height of the balloon.
Answer to Problem 58E
The height of the balloon is
Explanation of Solution
Given:
A balloon floats on a straight Balloonists measure the angle of depression to two consecutive mileposts on the same side of the road with
Formula used:
The formula to calculate
Calculation:
Assume the distance between the balloons is
s
Figure (1)
Figure (1) shows the angle of depression are
As
The value of a is
And the value of b is calculated as,
Substitute
Substitute
Compare equation (2) with equation (3) to calculate
Divide both sides by
Hence, the height of the balloon is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning