Question

Use similar triangles to solve. A person who is 6 feet tall is standing 108 feet from the base of a tree, and the tree casts a 120 foot shadow. The person's shadow is 12 feet in length. What is the height of the tree?

Answer 1

about 60 ft.

Step-by-step explanation:

the shadow would be the hypotenuse(I think). You would use cross multiplication so take the shadow of the person over the height of the person equal to the shadow of the tree and the unknown height of the tree(which ill say is x). When using cross multiplication you get 12 times x and 120 times 6. from there you have 12x = 720 then divide by 12 to get x and the answer is 60.

I'm not an expert just a geometry student who's worked with similar triangles so you should double check the answer.Hope this will help you!

12/6 = 120/x

12x=720

divide both by 12

x=60 Hieght of tree is 60ft