To find the height of the kite from the ground, we can use trigonometry, specifically the sine function.
Since we have a right triangle formed by the height of the kite, the length of the string, and the angle between them, we can use the sine of the angle to find the height:
sin(60°) = opposite side / hypotenuse
Given:
- Length of the string (hypotenuse) = 100 ft
- Angle between the ground and the string = 60°
Let h be the height of the kite from the ground.
sin(60°) = [tex]\frac{h}{10}[/tex]
Now, solve for h:
h = 100 x sin(60°)
h = 100 x [tex]\frac{\sqrt{3} }{2}[/tex]
h = 50[tex]\sqrt{3}[/tex]
So, the height of the kite from the ground is 50[tex]\sqrt{3}[/tex] feet.
