In a PA projection of the chest being used for cardiac evaluation, the heart measures 15.2 cm between its widest points. If the magnification factor is known to be 1.3, what is the actual diameter of the heart?

A. 9.7 cm
B. 11.7 cm
C. 19.7 cm
D. 20.3 cm

Respuesta :

The size of the real heart is B) 11.7 cm

Explanation:

In lenses, mirror and other optical systems, the magnification factor is given by:

[tex]M=\frac{y'}{y}[/tex]

where

y' is the size of the image

y is the size of the real object

In this problem, we have:

M = 1.3 is the magnification factor

y' = 15.2 cm is the size of the image (the image of the heart)

Solving for y, we find the actual size of the heart:

[tex]y=\frac{y'}{M}=\frac{15.2 cm}{1.3}=11.7 cm[/tex]

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