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: If the length of the drawbridge, r, is 20 meters, and the point P is 16 meters above the roadway, what is the distance d? A.19.6 metersB.25 metersC.12 metersD.36.6 meters

Answer 1

Given that

The relation between r, h, and d is given as

`r=√(h^2+d^2)`

Also, r = 20m and h = 16m

Explanation -

We have to find the value of d and by substituting the values we have

`\begin{gathered} 20=√(16^2+d^2) \\ On\text{ squaring both sides we have} \\ 20^2=16^2+d^2 \\ 400-256=d^2 \\ d^2=144 \\ d=√(144) \\ d=12\text{ meters} \end{gathered}`

So the correct option is C.

And the final answer is 12 meters.