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 an expression for the distance
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Question 1207806: 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 an expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.
Found 3 solutions by MathLover1, ikleyn, Alan3354:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
balloon direction and altitude form right triangle legs and
given:
an average speed of miles per hour
We need to calculate the distance.
Using Pythagorean theorem
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
.
In this problem, it does not matter, in which direction the balloon is moving.
It can move south, north, west, and the solution method along the answer will be the same.
The important fact is that the balloon moves horizontally along a straight line
at constant altitude over the horizontal Earth surface.
When a Math problem has excessive words, its always makes an unpleasant impression.
It shows clearly that the author is not a professional Math writer and produces his tasks on his knee in the garage.
There is nothing bad in producing problems on a knee in a garage,
but there is no need to demonstrate it to the world.
A truly mathematical problem is a piece of art and shines like a temple on a hill.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
15 mph = 22 ft/sec - from memory
d = 22t feet
BC=100ft - constant
Pythagorean theorem
,
,
feet.
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