A hot air balloon rising straight up from a launcher is tracked by a range finder located 1 km west of the launcher. The elevation angle of the range finder is denoted by \(\theta\). A car is moving east from the launcher, such that the line of sight from the balloon to the range finder and the line of sight from the balloon to the car intersect at a right angle.**Diagram Explanation:**- The diagram shows a right triangle with the hot air balloon at the top.- The base of the triangle is the horizontal distance between the launch pad and the range finder (1 km).- The hypotenuse is the line of sight from the range finder to the hot air balloon.- The distance \(s\) is from the launcher to the car, which forms another leg of the triangle perpendicular to the hypotenuse.**Questions:**(a) Describe the distance \(s\) between the launcher and the car in terms of \(\theta\).(b) When the distance between the range finder and the balloon is 2 km, and the angle \(\theta\) is increasing at a rate of 0.25 rad/min, find the speed of the car at this time.

Answered: Image /qna-images/answer/6d1ba9cb-d03b-40aa-8b3e-9798610cf093.jpg

Answered: A hot air balloon rising straight up…

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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