Question

Abhay is flying a kite. He lets out all of the string - a total

of 250 feet! If he's holding the end of the string 3 feet above the
ground, the string makes an angle of 30∘ with the ground, and the

Answer 1

He is holding the end of the string 3 feet above the ground, and the string makes an angle of 30 degrees with the ground. We can use trigonometry to find the height at which the kite is flying.

By considering the right triangle formed by the string, the height, and the ground, we can use the sine function to relate the angle and the height. The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

In this case, the opposite side is the height, the hypotenuse is the string length, and the angle is 30 degrees. Therefore, we have:

sin (30) degree = height/250

Simplifying the equation, we can solve for the height:

height = 250×sin (30)

Using the value of sin (30) = 1/2

So, the kite is flying at a height of 125 feet above the ground.