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A flying squirrel lives in a nest that is $16$ meters high in a tree. To reach a fallen acorn that is $12$ meters from the base of the tree, how far will the flying squirrel have to glide? $\newline$ $\_\_\_\_$ meters

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Pythagorean theorem: word problems

Full solution

Q. A flying squirrel lives in a nest that is

16

meters high in a tree. To reach a fallen acorn that is

12

meters from the base of the tree, how far will the flying squirrel have to glide?

\newline

\_\_\_\_

meters

Identify Problem: Identify the problem as finding the hypotenuse of a right triangle where the height of the tree is one leg and the distance from the tree to the acorn is the other leg.
Apply Pythagorean Theorem: Apply the Pythagorean Theorem: $a^2 + b^2 = c^2$ , where $a$ and $b$ are the legs and $c$ is the hypotenuse.
Calculate Leg Squares: Calculate the squares of the legs.
Add to Find $x^2$ : Add the results to find $x^2$ .
Calculate Square Root: Calculate the square root of $400$ to find $x$ .

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