Step-by-step explanation:
Given that, you are taking a picture of a giraffe that is standing far away from you. The image is just too small, so you swap the 60-mm-focal-length lens in your camera for a 960 mm telephoto lens such that,
![m_1=960\ mm](https://img.qammunity.org/2020/formulas/physics/college/1en1ct75z070y8dk0c7mu1f1sk14rk90a1.png)
![m_2=60\ mm](https://img.qammunity.org/2020/formulas/physics/college/lfig4ybflyy6rmkfccmj0cjyqjdqmodonk.png)
We need to find the the factor with which the size of the image increases. It can be calculated by taking ratios of both
![m_1\ and\ m_2](https://img.qammunity.org/2020/formulas/physics/college/nodlanjlo6qkyqcxhdxiiew8k8w4nddelz.png)
So,
![(m_1)/(m_2)=(960)/(60)](https://img.qammunity.org/2020/formulas/physics/college/8qcebbtnk6a7qk9u3af5l7n4h55hvvl3bs.png)
![(m_1)/(m_2)=16](https://img.qammunity.org/2020/formulas/physics/college/28fovwdc89mb4kp4bf4xz0njhzsofzhobl.png)
So, the size of image increases by a factor of 16. Hence, this is the required solution.