Your Home Security

MATH HYPERBOLA WORD PROBLEM!?

A curved mirror is placed in a store for a wide angle view of the room. the right hand branch of x squared over one minus y squared over three equals one models the curvature of the mirror. a small security camera is placed so that all of the 2-foot diameter of the mirror is visible. if the back of the room lies on x=18, what width of the back of the room is visible in the camera?

x²/1 – y²/3 = 1
18² – y²/3 = 1
y²/3 = 18²-1
y² = 969
y = ±31.1288
width = 62.25752967

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