STEP 1
Interpret the question to make geometric sense of it.
We have a triangle as depicted in the diagram below.
STEP 2
Find the unknown:
h is the opposite in a right angled triangle
100ft is the adjacent
h can be gotten with the formulae below.
[tex]\tan \emptyset=\frac{opp}{\text{adj}}[/tex]This gives opposite to be
[tex]\begin{gathered} \text{Adj}\times\tan \emptyset\text{ where} \\ \emptyset=60\text{ deg} \end{gathered}[/tex][tex]\text{Opposite = 100}\times1.732=173.2\text{ ft}[/tex]Therefore, tree height = 173.2 ft
