- The problem involves finding the height of a tree using the Pythagorean theorem.
- The ladder acts as the hypotenuse (c) of a right triangle, with a length of 10 meters.
- The distance from the base of the tree to the bottom of the ladder is one leg (b) of the triangle, measuring 3 meters.
- The height of the tree is the other leg (a), which is unknown.
- The Pythagorean theorem states: $a^2 + b^2 = c^2$.
- Substitute the known values: $a^2 + 3^2 = 10^2$.
- Calculate: $a^2 + 9 = 100$.
- Solve for $a^2$: $a^2 = 100 - 9 = 91$.
- Take the square root: $a = \sqrt{91}$.
- The height of the tree is approximately 9.54 meters.
Parent Tip: Review the logic above to help your child master the concept of real life pythagorean theorem examples.