Question

Jack is 1.75 m tall and casts a shadow 2.25 m long. At the same time, a statue casts a shadow 9 m long. What is the height of the statue?

a. 4 m
b. 7 m
c.5.75 m
d.11.6 m

Answer 1

7m
1.75 divided by 2.25 = 0.77777777...
0.77777777.. times by 9 = 7

Answer 2

b. 7 m

Explanation:

There is a direct proportion relationship between the length of the object/person and the shadow cast by it.

Let the length of the object/person be L an that of the shadow be B

L ∝ B

L = KB

where K is the constant of proportionality.

Where L = 1.75 m, B = 2.25 m

1.75 = 2.25B

B = 175/225 = 7/9

Therefore, L = (7/9)B

If at the same time, a statue casts a shadow 9 m long, then B = 9 m

L = (7/9) × 9

L = 7 m

The height of the statue is 7 m.