Question

a hummingbirds nest is 12 meters high in a tree and a flower is on the ground 5 meters away from the base of the tree. how far will the hummingbird need to fly from its nest to the flower?
meters
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Explanation:

Step1: Identify right triangle sides

The height of the nest $a=12$ m, horizontal distance $b=5$ m. The flight path is the hypotenuse $c$.

Step2: Apply Pythagorean theorem

$$c^2 = a^2 + b^2$$
$$c^2 = 12^2 + 5^2 = 144 + 25 = 169$$

Step3: Calculate hypotenuse length

$$c = \sqrt{169} = 13$$

Answer:

13 meters