SOLUTION: AN AIRPLANE COVERED 24 MILES OF ITS ROUTE WHILE DECREASING ITS ALTITUDE BY 36,000 FEET. FIND THE SLOPE OF THE AIRPLANE'S LINE OF DESCENT. ROUND TO THE NEAREST HUNDREDTH. 1 MI =

Algebra ->  Linear-equations -> SOLUTION: AN AIRPLANE COVERED 24 MILES OF ITS ROUTE WHILE DECREASING ITS ALTITUDE BY 36,000 FEET. FIND THE SLOPE OF THE AIRPLANE'S LINE OF DESCENT. ROUND TO THE NEAREST HUNDREDTH. 1 MI =       Log On


   



Question 121057: AN AIRPLANE COVERED 24 MILES OF ITS ROUTE WHILE DECREASING ITS ALTITUDE BY 36,000 FEET. FIND THE SLOPE OF THE AIRPLANE'S LINE OF DESCENT. ROUND TO THE NEAREST HUNDREDTH. 1 MI = 5280 FT
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Let the slope be c, the ALTITUDE a, and the ROUTE b
Note: they form right angle triangle
Given:
a+=+36000ft=%2836000%2F5280%29mil=+6.81mil
+b+=+24mil+
So, you can use Pythagorean’s theorem to find c:
%286.81mil%29+%5E2+%2B+%2824mil%29%5E2+=+c%5E2

+%2846.3761%29+%28mil%5E2%29+%2B+%28576+%29%28mil%5E2%29+=+c%5E2

+%28622.3761%29+%28mil%5E2%29+=+c%5E2
+c=+sqrt+%28%28622.3761%29+%28mil%5E2%29%29+
c+=+24.95+%28mil%5E2%29