Question

7. PHOTOGRAPHY Francine has a camera in which the distance from the lens to the film

Answer 1

Answer:

a) The height of the image = 11.2 millimeters

b) The distance between the camera and her friend = 2.24 meters

Step-by-step explanation:

Part A: find the height of the image:

distance from the lens to the film = 24 millimeters

distance from the lens to the her friend = 3 meters = 3000 millimeters

height of her friend = 140 centimeters = 1400 mm

the height of the image = x

Using the similarity :

$\frac{x}{140} = \frac{24}{3000} \\x= \frac{140*24}{3000} = 1.12 cm = 11.2 mm.$

Part B: find the distance between the camera and her friend

If the height of the image on the film of her friend is 15 millimeters.

Let the the distance between the camera and her friend = y

$\frac{y}{24} = \frac{1400}{15} \\y = \frac{24 * 1400}{15} = 2,240 mm = 2.24 meters$