MelloCloud3559idn
Answered

Get the answers you've been searching for with IDNLearn.com. Ask your questions and receive reliable and comprehensive answers from our dedicated community of professionals.

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 value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.