Exercise 32 Page 213

To find the length of the image seen through the magnifying glass, we will use the fact that the scale factor k can be calculated by dividing the actual length by the image length. k= image lengthactual length We know that the magnifying glass makes an image that is 10 times the object's actual size. Therefore, the scale factor is k=10. From the picture of the ladybug, we can see that its length is 4.5mm. We will use these values and the formula to find the image length.

k=image length/actual length

SubstituteII

actual length= 4.5, k= 10

10=image length/4.5

MultEqn

LHS * 4.5=RHS* 4.5

10*4.5 = image length

Multiply

Multiply

45 = image length

RearrangeEqn

Rearrange equation

image length = 45

Therefore, the length of the ladybug seen through the magnifying glass is 45 millimeters.