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 18 meters, and the point P is 7 meters above the roadway, what is the distance d?

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parmesanchilliwack parmesanchilliwack · Answer 1 · 2019-04-04T09:12:40+02:00

Answer:

The distance d is 16.583 meters ( approx )

Step-by-step explanation:

Here, r represents the length of the drawbridge, p represents the point above the roadway and d represents the distance d,

Let h be the distance of point P above the roadway,

Hence, the function that shows the given situation,

[tex]R=\sqrt{h^2+d^2}[/tex]

Here, r = 18 meters, h = 7 meters,

[tex]\implies 18=\sqrt{7^2+d^2}[/tex]

[tex]\implies 324 = 49+d^2[/tex]

[tex]\implies 275=d^2\implies d=16.5831239518\approx 16.583\text{ meters}[/tex]

Thus, The distance d is 16.583 meters ( approx )