MelloCloud3559
Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Sagot :

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

Answer:

b. 7 m

Step-by-step 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.

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.