A tree is 10 feet tall casts a shadow that is 12.75 feet long. How tall is a tree that casts a shadow that is 17.85 feet tall?

Question

That's it

Answer 1

For this question, you have to use proportions.

So your answer will be:

10/12.75 = x/17.85

Cross multiply and solve for x:

10*17.85 = 12.75*x

x = (10*17.85)/12.75 = 14

The tree is 14 feet tall

Answer 2

This is a proportion problem, as the shadow's length will be directly proportional to the height.

You can set up the proportion in several ways, but the units should be consistent (height-to-height or height-to- shadow) You can check if you've done it right if the result makes sense.

Here's one setup: 10/x = 12.75/17.85. I've put the 1st tree and its shadow on top and the unknown tree and its shadow on the bottom of the fractions. Solve by cross-multiplying.

12.75x = 178.5 -> x = 14 ft Makes sense - longer shadow, taller tree.

Answer 3

10 / 12.75 = t / 17.85

Can you solve for t and answer?