The height of the tree is : 6 + x
Using the trigonometric function : TANGENT to calculate for x
[tex]\tan \theta=\frac{opposite\text{ }}{\text{adjacent}}[/tex]From the 36 degree angle, the opposite side is x and the adjacent side is 85
[tex]\begin{gathered} \tan \theta=\frac{x}{85} \\ x=85\tan \theta \\ x=85\tan 36 \\ x=61.756ft\text{.} \end{gathered}[/tex]The height of the tree is 6 + x = 6 + 61.756 = 67.756 ~ 68 ft
Answer : The height of the tree is 68 ft.
