503,324 views
5 votes
5 votes
Please answer this!! (look at picture)

The alien is 5 feet tall and his shadow is 8 feet long. At the same time of day a tree's shadow is 32 feet long. Use triangle similarity to find the height of the tree.

Please answer this!! (look at picture) The alien is 5 feet tall and his shadow is-example-1
User Cory Duncan
by
2.9k points

2 Answers

17 votes
17 votes

Answer:

20 feet (By the way can I have brain list)

Explanation:

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

We solve this using proportion of

Height/ Shadow

= 5/8 = x/32

Cross Multiply

8x = 5 × 32

x = 5 × 32/8

x = 20 feet

The height of the tree is 20 feet

User George Shore
by
2.9k points
26 votes
26 votes

Answer:

Height of the tree = 20 ft

Explanation:

A basic equation can be formed to solve this:


(5)/(8) = (x)/(32)


x = (5 * 32)/(8)


x = 20 ft

Therefore, the height of the tree is 20 ft.

User Jhickok
by
3.0k points