Answer:
5.2 meters.
Step-by-step explanation:
We have been given that a hummingbird lives in a nest that is 8 meters high in a tree. The hummingbird flies straight from its nest to a flower on the ground, a distance of 9 meters. We are asked to find the distance between flower and the base of tree.
We will draw a right triangle to represent the given scenario as shown in the attached file.
We will use Pythagoras theorem to find the distance between flower and the base of tree as:
[tex]x^2+8^2=9^2[/tex]
[tex]x^2+64=91[/tex]
[tex]x^2+64-64=91-64[/tex]
[tex]x^2=27[/tex]
Now, we will take positive square root of both sides as:
[tex]\sqrt{x^2}=\sqrt{27}[/tex]
[tex]x=5.1961524227066319[/tex]
Upon rounding to nearest tenth, we will get:
[tex]x\approx 5.2[/tex]
Therefore, the flower is approximately 5.2 meters away from the base of the tree.
