Answer:
22.4 ft
Step-by-step explanation:
Given
[tex]Height = 2.5ft[/tex]
[tex]Shadow = 4ft[/tex]
Required
Determine the shadow of 14 ft Tom
The given parameters represents direct variation.
Let x represents the shadow of Tom.
So, we have:
When
[tex]2.5ft\ height = 4ft\ Shadow[/tex]
[tex]14ft\ height = x[/tex]
Cross Multiply:
[tex]2.5 * x = 14 * 4[/tex]
[tex]2.5 * x = 56[/tex]
Solve for x
[tex]x = 56/2.5[/tex]
[tex]x = 22.4[/tex]
Hence, the height of the shadow is 22.4ft