Answer:
88.27 ft
Step-by-step explanation:
We know that the Kite's length makes a right triangle with the perpendicular height above the ground, 80ft.
-The perpendicular height, 80 ft, corresponds to the angle of elevation, 65°. The kite's length corresponds to 90°.
-Let x be the Kite's length.
-We apply sine rule to calculate the length of the kit:
[tex]\frac{a}{Sin \ A}=\frac{b}{Sin \ B}=\frac{c}{Sin \ C}\\\\\frac{80\ ft}{Sin \ 65\textdegree}=\frac{x}{Sin \ 90\textdegree}\\\\x=\frac{80\ ft}{Sin \ 65\textdegree}\\\\=88.27 \ ft[/tex]
Hence, the kite's l;ength is 88.27 ft
