Question

Use similar triangles to solve. A person who is 5 feet tall is standing 132 feet...

Use similar triangles to solve. A person who is 5 feet tall is standing 132 feet from the base of a​ tree, and the tree casts a 144 foot shadow. The​ person's shadow is 12 feet in length. What is the height of the​ tree?

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Answer #1

We can think of all the rays of sun as parallel line, the tree as vertical line segments and the ground as a perfectly flat horizontal plane.
The person, the person's shadow, and the sun ray from the top of the person's head to the top of the shadow from a right triangle.
The tree, its shadow, and the sun ray from the top of the tree to the tip of its shadow also form a right triangle.
Those two triangles are similar to each other because the angles of the sun rays with the ground are congruent.


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