Question

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

39 ft

25 ft

T

5 ft

X

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

A

29.9

B

33.48

C

30,5

D 70.7

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the horizontal distance x of the camera, we can use similar triangles. The height of the camera can be found by subtracting Michael's height from the total height visible in the camera view:

39 ft - 5 ft = 34 ft

Now we can set up a proportion using the similar triangles:

34 ft / 25 ft = x / 5 ft

Solving for x:

x = 34 ft * 5 ft / 25 ft
x = 6.8 ft

Therefore, the horizontal distance x of the camera is 6.8 ft.

The closest answer choice is A) 29.9, however this calculation shows that the correct answer is not listed among the options provided.