Answer:
The length of the string is 110.3 ft. Option 3 is correct.
Step-by-step explanation:
Let the length of string be x.
It is given that the kite is 100 feet above the ground and the string makes an angle of 65° with the ground.
In a right angle triangle,
[tex]\sin \theta=\frac{perpendicular}{hypotenuse}[/tex]
[tex]\sin (65^{\circ})=\frac{100}{x}[/tex]
[tex]x=\frac{100}{\sin (65^{\circ})}[/tex]
[tex]x=110.3378\approx 110.3[/tex]
Therefore the length of the string is 110.3 ft. Option 3 is correct.
