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.
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
1 answer