63 ft
Explanationas the kite , the ground and the vertical make a rigth triangle, we can use trigonometric relations to find the missing side
Step 1
Diagram:
b) let
[tex]\begin{gathered} angle=44\text{ \degree} \\ hypotenuse=\text{ 90 ft} \\ opposite\text{ side=x \lparen unknown\rparen} \end{gathered}[/tex]hence, we need a function that relates angle, hypotenuse and opposite side, it is
[tex]\sin\alpha=\frac{opposite\text{ side}}{hyotenuse}[/tex]replace
and solve for opposite side
[tex]\begin{gathered} \sin(\alpha)=\frac{oppos\imaginaryI te\text{s\imaginaryI de}}{hyotenuse} \\ sin\text{ 44=}\frac{x}{90} \\ multiply\text{ both sides by 90} \\ 90*\sin44=\frac{x}{90}*90 \\ 62.5192\text{ ft=x} \\ rounded\text{ } \\ x=63\text{ ft} \end{gathered}[/tex]therefore, the answer is
63 ft
I hope this helps you
