AIR MATH

Math Question

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:
\[
t=\sqrt{h^{2}+d^{2}}
\]
If the length of the drawbridge, \( r \), is 18 meters, and the point \( P \) is 7 meters above the roadway, what is the distance \( d \) ?
A. 31 meters
B. \( 16.6 \) meters
C. \( 20.9 \) meters
D. 12 meters

Solution

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