Question

An average male is 69 inches tall.Trolls are approximately 6 inches tall.The average ceiling height for a human is 108 inches tall.what is the scale factor to go from humans to trolls?

Answer 1

Scale factor for average human height

• 6/69
• 2/23

Now

• Scale factor for ceiling height (Let unknown be x)=x/108

So

• x/108=2/23
• x=108(2/3)
• x=9.4in

Answer 2

• k = 2/23

Explanation:

Humans

• Average height = 69 in
• Ceiling height = 108 in

Trolls

• Average height = 6 in
• Ceiling height = x

The scale factor to work out the value of x:

• k = 6/69 =2/23

The value of x would be:

• x = 108k = 108*2/23 = 9.39 in