# Math

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A tree in the park makes a shadow on the ground at the same time the basketball post makes a shadow on the ground, as shown. If the height of the basketball post is 10 feet tall, and casts a 30 foot shadow, and the tree casts a 60 feet shadow, use properties of similar triangles to determine the height of the tree.

• Math -

10 ft basketball post/30 ft shadow = tree height/to 60 ft shadow.

so 10/30 = ??/60

• Math -

A maple tree casts a shadow of 45 ft long. At the same time, a 40-ft-long oak tree casts a shadow which is 60 ft long. Explain how you can use similar triangles to find the height of the tree. Then find the height of the tree.

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