Answer:
9. The man is 6 feet tall
10. Ms. Dydek's shadow would be 4 ft 6.3 inches
Explanation:
Problem 9:
The 136 feet tall Ferris wheel casts a shadow of 34 feet so the shadow:object ratio is 34:136.
The man's shadow is 1.5 feet so this is what we're solving for:
1.5:x
34: 136
First, we need to find what 1.5 was multiplied by to get 34:
34/1.5 = 22 2/3 or 68/3
This means that 68/3x = 136:
68/3x = 136
x = 6
The man is 6 feet tall
Problem 10:
A 6 foot 4 inch or 76 inch tall person casts a shadow of 4 feet or 48 inches. This makes the shadow:object ratio 48:76.
We are trying to find the length of the shadow of a 7 foot 2 inch or 86 inch tall person:
48:76
x:86
First, determine what 76 was multiplied by to get 86:
86/76 = 43/38
This means that x = 48*(43/38).
x = 2064/38
x = 54 6/19 or 54.3in
Margo Dydek's shadow would be 54.3 inches or 4 feet and 6.3 inches long.