Q:

If a tree casts a 24-foot shadow at the same time that a yardstick casts a 2-foot shadow, find the height of the tree. Please help!! I have to show work

Accepted Solution

A:
The triangle made by both will be similar because the angle made by the sun with the tree and yardstick is equal. Then the height of the tree is 36 feet.What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.If a tree casts a 24-foot shadow at the same time that a yardstick casts a 2-foot shadow.We know that the triangle made by both will be similar because the angle made by the sun with the tree and yardstick is equal.Let x be the height of the tree.Then we have [tex]\rm \dfrac{x}{24} = \dfrac{3}{2}\\\\x \ \ = \dfrac{3 *24}{2}\\\\x\ \ = 12 * 3\\\\x \ \ = 36[/tex]More about the triangle link is given below.