Question

The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 feet long. What is the height of the tree?

Answer 1

30ft

Explanation:

Proportion/ratio question

Tree : Your friend

27ft : 4.5ft

? : 5ft

Formula given divided by the original or missing value equivalent

g/o = 5/4.5 = 1.11111 multiplier

Then use multiplier for the tree given value.

27 x 1.111111 = 29.999997

= 30ft

Answer 2

the tree is 30 ft tall

Explanation:

27/x = 4.5/5

cross multiply

(4.5)(x) = (27)(5)

4.5x = 135

divide the entire equation by 4.5 to isolate x

135/4.5 = 30

x = 30