posted by .

if a person is 6 feet tall and casts a 9 foot shadow, how tall would the shadow of a 100 foot tall tree be?

6 / 9 = 100 / x Multiply both sides with x

6 x / 9 = 100 Multiply both sides with 9

6 x = 9 * 100

6 x = 900 Divide both sides with 6ΕΎ

x = 900 / 6

x = 150 ft

OR

9 / 6 = 1.5

x / 100 = 1.5 Multiply both sides with 100

x = 1.5 * 100

x = 150 ft

or using proportions and cross multiply:
6:9
100:?
? = 100*9/6=150

A tree and a building stand side by side. The 5-foot tall tree casts a shadow of 12 feet. If the building is 80 feet tall, how long is its shadow?

## Similar Questions

1. ### math

At a given time, the height of an object is directly proportional to the length of the shadow that is cast on the ground. A person 6 feet tall casts a shadow 1 foot long at noon. a) What is the length of the shadow cast by a flagpole …
2. ### math

A tree casts a shadow that is 20 feet long. A 5-foot-tall boy stands in the shadow so that the end of his shadow lines up with that of the tree. His shadow is 6 feet long. How tall is the tree
3. ### Math...I think...

A building casts a shadow 54 feet long at the same time a 6 foot tall man casts a shadow 4 feet long. How tall is the tree?
4. ### geometry

if a 5-foot tall bush casts a 2-foot shadow how tall is a tree standing next to the bush that casts an 8-foot shadow at the same time?
5. ### Math

Matt who stands at 68 inches tall casts an 8 foot shadow at the same time a pear tree casts a 21 foot shadow. How tall is the tree?
6. ### MATH

A person who is 6 feet tall is standing 117 feet from the base of a tree, and the tree casts a 130 foot shadow. The person's shadow is 13 feet in length. What is the height of the tree?
7. ### Math

Use similar triangle to solve. A person who is 6 feet tall standing 140 feet from the base of a tree and the tree casts a 150 foot shadow. The person's shadow is 10 feet in length. What is the height of the tree?
8. ### math

At the time that a 55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. Which measure is the closest to the length of the shadow she will cast?
9. ### algebra 2

An object's height varies directly with the length of its shadow. A person who is 5 feet tall casts an 8-foot shadow. How long is the shadow of a 20-foot tree?
10. ### math

The height of an object varies directly with the length of its shadow. A person who is 6 feet tall casts a 15-foot shadow. How long is the shadow of a 20-foot tree?

More Similar Questions