SOLUTION: A 6 foot man casts a shadow that is 1 1/2 feet long. At the same time, a tree casts a shadow that is 6 feet long how tall is the tree?

Question 621553: A 6 foot man casts a shadow that is 1 1/2 feet long. At the same time, a tree casts a shadow that is 6 feet long how tall is the tree?
Answer by dragonwalker(73) (Show Source): You can put this solution on YOUR website!
Luckily we don't have to figure the angle of the sun (which we could from the details given. As the angle will be the same, the relation between the height of the man and his shadow will be the same as the relation between the height of the height of the tree and the length of the shadow.
So The man's shadow is 1.5 feet compared to his height of 6 feet.
This means the height of the man is 6/1.5 more than his shadow.
So if the tree's shadow is 6 feet long the height of the tree will be 6/1.5 times 6 = 24 feet.

RELATED QUESTIONS
A tree casts a shadow of 12 feet. At the same time a 6-foot man casts a 3-foot... (answered by checkley79)

A telephone pole casts a shadow that is 30 feet long. At the same time, a man standing... (answered by Boreal,Alan3354)

a pole that is 6 feet tall casts a shadow that is 4 feet long. At the same time a tree... (answered by drj)

Molly casts a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow (answered by ikleyn,Solver92311)

A 5-foot tall woman casts a shadow of 6 feet. At the same time, a tree casts a shadow of... (answered by Boreal)

a 12 foot tree casts a 16 foot shadow. How many feet tall is a nearby tree that casts a... (answered by checkley77)

A 12-foot tree casts a 16-foot shadow. How many feet tall is a nearby tree that casts a... (answered by rfer)

A 12-foot tree casts a 16-foot shadow. How many feet tall is a nearby tree that casts a... (answered by gwendolyn)

A tree casts a shadow 6 feet long. At the same time of day a 5.5 foot tall person casts... (answered by rfer,stanbon)