Question

A hummingbird lives in a nest that is 4 m high in a tree the hummingbird flies 5 m to get from its nest to the flower on the ground how far is the flower from the base of the tree?

Answer 1

Solution

The information can be shown with the diagram below

Using Pythagoras theorem it follows

$5^2=4^2+x^2$

Simplify the terms

$25=16+x^2$

Solve for x

$\begin{gathered} 25-16=x^2 \\ x^2=9 \\ x=\sqrt[]{9} \\ x=3 \end{gathered}$

Therefore the flower is 3 meters away from the bottwomog of the tree