SOLUTION: A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a constant altitude of 100 feet, passes over an intersection. Find the expression for the distanc

Algebra.Com
Question 504199: A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a constant altitude of 100 feet, passes over an intersection. Find the expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a constant altitude of 100 feet, passes over an intersection. Find the expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.
-------------------
Draw the picture.
The distance is the hypotenuse of a right triangle.
---
height = 100 ft
path of the balloon has speed 15*5280 ft/hr = 79000 ft/hr = 1320 ft/sec
-----
dist = sqrt[100^2 + 1320^2*t]
============
Cheers,
Stan H.

RELATED QUESTIONS

A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a... (answered by MathLover1,ikleyn,Alan3354)
A hot-air balloon, headed due east at an average speed of 25 miles per hour and at a... (answered by ikleyn)
A hot air balloon is headed due east at a constant altitude of 200 feet, going 30 mph... (answered by Earlsdon,venugopalramana)
A hot air balloon descends at a rate of 320 feet per minute for 3 minutes. Use integers... (answered by lynnlo)
Two cars leave an intersection at the same time. One is headed North at a constant speed... (answered by ankor@dixie-net.com,Alan3354)
I have a distance problem: At noon, the hot air balloon headed north at 8 miles per hour. (answered by Boreal)
Barney left his house and headed due east at a speed of 50 miles per hour. Fred left at... (answered by stanbon)
Suppose a hot air balloon is 250 feet in the air. The balloon drops at 25 feet per... (answered by edjones)
Pam sees a hot-air balloon at an altitude of 520m with an angle of elevation of 42°24'.... (answered by Alan3354)