SOLUTION: A drawbridge will sometimes open up to let boats and other water traffic pass through. As it opens, the surface of the drawbridge raises above the level of the roadway, as modeled

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Question 1057445: A drawbridge will sometimes open up to let boats and other water traffic pass through. As it opens, the surface of the drawbridge raises above the level of the roadway, as modeled by the function:
R= √h^2+d^2
If the length of the drawbridge, r, is 25 meters, and the point P is 16 meters above the roadway, what is the distance d?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A drawbridge will sometimes open up to let boats and other water traffic pass through.
As it opens, the surface of the drawbridge raises above the level of the roadway, as modeled by the function:
R= √h^2+d^2
If the length of the drawbridge, r, is 25 meters, and the point P is 16 meters above the roadway, what is the distance d?
:
Assuming that point P is h
25+=+sqrt%2816%5E2+%2B+d%5E2%29
we can write this as
sqrt%28256+%2B+d%5E2%29+=+25
square oth sides
256 + d^2 = 625
d^2 = 625 - 256
d^2 = 369
d+=+sqrt%28369%29
d = 19.21 meters