Exercise 34 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 15 times the object's actual size. Therefore, the scale factor is k=15. From the picture of the carpenter ant, we can see that its length is 12mm. We will use these values and the formula to find the image length.

k=image length/actual length

SubstituteII

actual length= 12, k= 15

15=image length/12

MultEqn

LHS * 12=RHS* 12

15*12 = image length

Multiply

Multiply

180 = image length

RearrangeEqn

Rearrange equation

image length = 180

Therefore, the length of the carpenter ant seen through the magnifying glass is 180 millimeters.