Question

The length of an object's shadow varies directly with its height. A boy who is 4 feet 6 inches tall casts a shadow that is 6 feet and 3 inches long. What is the height of a tree that casts a shadow that is 25 feet long?
A) 18ft
B) 20ft
C)16ft
D) 216 ft

Answer 1

Make some proportions

Answer 2

Draw a picture

Answer 3

I would suggest turning everything into inches and then at the end turn it back to feet.

Answer 4

i have no idea how to do this problem

Answer 5

Do you know how to make a proportion from the picture I showed you? Wait, first, let's convert the feet into inches to make it more friendly. Try converting 4 feet, 6 inches into inches, and 6 feet, 3 inches into inches. Multiply 4 by 12, then add it to 6, then multiply 6 by 12 and add it to 3.

Answer 6

54ins, 75ins

Answer 7

Good

Answer 8

300ins?

Answer 9

Now can you make a proportion from this?

Answer 10

no, im sorry

Answer 11

That's ok. The first thing you need to do is see which sides match up on the triangles.

Answer 12

you mean like the bottom and side of the triangle?

Answer 13

Yes