The rear window in a car is approximately a rectangle, 1.5 m wide and 0.30 m hig

Question

The rear window in a car is approximately a rectangle, 1.5 m wide and 0.30 m high. The inside rearview mirror is 0.60 m from the driver's eyes, and 1.32 m from the rear window.

What is the minimum length for the rearview mirror if the driver is to be able to see the entire width and height of the rear window in the mirror without moving her head?

What is the minimum height for the rearview mirror if the driver is to be able to see the entire width and height of the rear window in the mirror without moving her head?

Explanation / Answer

height1/height2 = base1/base2

0.6/(1.32+0.6) = width1/1.5

width1 = 0.3125 * 1.5

width1 = 0.469 m

0.6/(1.32+0.6) = height1/0.3

height1 = 0.3125 * 0.3

height = 0.0938 m

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