134k views
24 votes
A tree casts a shadow that is 24 ft in length. A 3 foot stick casts a shadow that is 2 ft in length. What is the height of the tree?

A tree casts a shadow that is 24 ft in length. A 3 foot stick casts a shadow that-example-1
User Joselyn
by
7.8k points

1 Answer

5 votes

Answer:

36 ft

Explanation:

Looking at the shadow of the stick, it is 2/3 as long the length of the stick.

We know the shadow is 24 feet, so 24 is 2/3 of x (the length of the tree)

Multiply 24 by 3/2 (the reciprocal of 2/3) to get x.

24/1 * 3/2

Cross-cancellation

12/1 * 3/1

12 * 3

36 ft

The height of the tree is 36 feet.

User Matt Cremeens
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories