Question

A security camera is set up as shown in the diagram below. Michael, who is 5 feet tall, is standing in its view.

the legs are 39 and 25 inches

What is x, the horizontal distance in feet of the camera?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the horizontal distance of the camera, we can use similar triangles.

Let x be the horizontal distance of the camera in feet. Since Michael is 5 feet tall and the length of his legs in the camera's view is 39 inches, the ratio of Michael's height to the length of his legs in the camera's view is 5/39.

Similarly, the ratio of x (the horizontal distance of the camera) to the sum of the lengths of the camera's legs (39 + 25 = 64 inches = 64/12 = 5.33 feet) is x/5.33.

Setting up the proportion:
5/39 = x/5.33

Cross multiply:
39x = 5 * 5.33
39x = 26.65
x = 26.65 / 39
x ≈ 0.68 feet

Therefore, the horizontal distance of the camera is approximately 0.68 feet.

Answer 2

are you sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

Let's revisit the calculation to ensure accuracy:

5/39 = x/5.33
Cross multiplying:
39x = 5 * 5.33
39x = 26.65
x = 26.65 / 39
x ≈ 0.68 feet

Therefore, the horizontal distance of the camera is indeed approximately 0.68 feet.