Answer: [tex]6.34\ ft[/tex]
Step-by-step explanation:
Given
The length of the wire is [tex]l=15\ ft[/tex]
The Wire makes an angle of [tex]25^{\circ}[/tex] with horizontal
Suppose the height of the tree is h
From the figure, we can write
[tex]\Rightarrow \sin 25^{\circ}=\dfrac{h}{l}\\\\\Rightarrow h=l\sin 25^{\circ}\\\Rightarrow h=15\sin 25^{\circ}\\\Rightarrow h=6.34\ ft[/tex]
Thus, the height of the tree is [tex]6.34\ ft[/tex]
