Answer:
20.6 ft
Step-by-step explanation:
You must use the trigonometric function.
In this case, it will be tangent.
[tex]tangent=\dfrac{opposite}{adjacent}[/tex]
We have
[tex]\theta=38^o,\ opposite=r,\ adjacent=20[/tex]
[tex]\tan38^\approx0.7813[/tex]
Substitute:
[tex]\tan38^o=\dfrac{r}{20}[/tex]
[tex]\dfrac{r}{20}=0.7813[/tex] multiply both sides by 20
[tex]r=15.626[/tex]
Tree height is r + 5.
Therefore
[tex]r+5=15.626+5=20.626\approx20.6\ ft[/tex]
