Problem 26.13 The rear window in a car is approximately a rectangle, 1.2m wide a

Question

Problem 26.13

The rear window in a car is approximately a rectangle, 1.2m wide and 0.22m high. The inside rearview mirror is 0.44m from the driver's eyes, and 1.52m from the rear window.

Part A

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?

Express your answer using two significant figures.

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Part B

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?

Express your answer using two significant figures.

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Explanation / Answer

For the height of the mirror h:
H/.44 m = .22 m/ 1.52 m
So H = .22 x .44 / 1.52 = .064 m = 6.4 cm

Similarly, for the width of the mirror w:
W = .44 x 1.2 / 1.52 = .347 m = 34.7 cm

Minimum dimension: Height x Width = .064 m x .347 m

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