Final answer:
To find the length of the string attached to a kite flying at a height of 50√3 m above the ground and inclined at 60° to the horizontal, we can use trigonometry and the sine function. The length of the string is 150 meters.
Step-by-step explanation:
To find the length of the string, we can use trigonometry.
The height of the kite above the ground forms the opposite side of the right triangle and the length of the string forms the hypotenuse.
Given that the angle between the string and the horizontal is 60°, we can use the sine function to find the length of the string:
L = √(h2 + 502)
where h is the height of the kite above the ground, which is 50√3 in this case.
Substituting the value of h into the equation, we get:
L = √((50√3)2 + 502) = 50√(6 + 3) = 50√9 = 50 x 3 = 150
Therefore, the length of the string is 150 meters.