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. How far is the flower from the base of the tree? If necessary, round to the nearest tenth.

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:

Now, we will take positive square root of both sides as:

Upon rounding to nearest tenth, we will get:

Therefore, the flower is approximately 5.2 meters away from the base of the tree.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

hiking down a winding trail.

step-by-step explanation: