# Thread: Hot-Air Balloon

1. ## Hot-Air Balloon

A hot-air balloon, headed east at an average speed of 15 miles per hour and at a constant height of 100 feet, passes over an intersection. Find an expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.

MY WORK:

d(t) = 15t

Is this correct?

2. No.
When it becomes over the intersection, it's distance from the balloon to the intersection is 100m. t seconds later, it will travel some horizontal distance given by 15t. A right-triangle is formed, with legs of 15t and 100. What is the hypotenuse?

You will get a function that gives the distance in miles. Recall that 1 mile = 5280 feet.

3. ## Are you....

Originally Posted by Chop Suey
No.
When it becomes over the intersection, it's distance from the balloon to the intersection is 100m. t seconds later, it will travel some horizontal distance given by 15t. A right-triangle is formed, with legs of 15t and 100. What is the hypotenuse?

You will get a function that gives the distance in miles. Recall that 1 mile = 5280 feet.
Are you saying to use the Pythagorean Theoem and that after finding the hypotenuse, I will know the answer?

4. Yes.

Note that the time t should be in hours.

5. ## ok

Originally Posted by Chop Suey
Yes.

Note that the time t should be in hours.
I'll tackle this one later.

Thanks