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?

To solve this problem, we can use similar triangles. Similar triangles are triangles that have the same shape but may be scaled differently.

Let's denote the height of the tree as "h" and the length of the person's shadow as "s". We can set up a proportion using the corresponding sides of the two similar triangles:

(height of the tree) / (length of the person's shadow) = (height of the person) / (length of the person's shadow)

or

h / s = 6 / 10

Now, we can substitute the given values into the proportion:

h / 10 = 6 / 10

Now, we isolate "h" by cross-multiplying:

10 * 6 = h * 10

Simplifying:

60 = 10h

Dividing both sides by 10:

60 / 10 = h

6 = h

Therefore, the height of the tree is 6 feet.

shadow/height = constant at this time of day

10/6 = 150/x

90

so, did you draw a diagram and see the similar triangles?