ANSWER:
2.1 meters
STEP-BY-STEP EXPLANATION:
Given:
Distance of car (do) = 7.49 m
Focal length (f) = 1.64 m
We use the lens equation:
[tex]\frac{1}{d_o}+\frac{1}{d_i}=\frac{1}{f}[/tex]We substitute the values and solve for di which is the distance of the image
[tex]\begin{gathered} \frac{1}{7.49}+\frac{1}{d_i}=\frac{1}{1.64} \\ \\ \frac{1}{d_i}=\frac{1}{1.64}-\frac{1}{7.49} \\ \\ \frac{1}{d_i}=0.47624 \\ \\ d_i=\frac{1}{0.47624} \\ \\ d_i=2.1\text{ m} \end{gathered}[/tex]The distance of the car image is 2.1 meters
