Alicia is 5 feet, 6 inches tall. She casts a shadow that is 6 feet long. The tree casts a shadow that is 18 feet long.
(Hint: Convert Feet to Inches)
How tall is the tree?
66/72 = x/216
Solve for x.
To find the height of the tree, we can set up a proportion between the lengths of Alicia's shadow and her height, and the lengths of the tree's shadow and its height.
Let's convert the measurements to inches first since they are both described in feet and inches.
Alicia's height is 5 feet + 6 inches, which is equivalent to (5 * 12 + 6) inches = 66 inches.
Alicia's shadow is 6 feet long, so in inches, it would be 6 * 12 inches = 72 inches.
Now, the proportion between Alicia's height (66 inches) and her shadow length (72 inches) can be set up as:
66 inches / 72 inches = x (tree's height) / 18 feet * 12 inches
Simplifying the equation, we have:
66 / 72 = x / (18 * 12)
Divide both sides of the equation:
0.9167 ≈ x / 216
Now, cross-multiply:
0.9167 * 216 = x
156.998 ≈ x
Therefore, the height of the tree is approximately 157 inches.