John let out 50 foot of kite string when he observes that his kite is directly above a point on the ground 30 feet away from him, how high is the kite ?
simple trig
Natalie practices the piano everyday. On Monday she practiced for 10 minutes. If she practices everyday for 10 minutes, on which days of the week will she have practiced for 90 minutes? Explain.
40
To find the height of the kite, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the height of the kite can be represented as the vertical leg of a right triangle, and the distance between John and the point on the ground directly below the kite can be represented as the horizontal leg.
Let's call the height of the kite "h", the distance from John to the point on the ground "d", and the length of the string "s".
In this scenario, the length of the string, "s", is the hypotenuse of the right triangle, the height of the kite, "h", is one leg, and the distance from John to the point on the ground, "d", is the other leg.
According to the Pythagorean theorem:
s^2 = h^2 + d^2
In this problem, we are given that the length of the string, "s", is 50 feet and the distance from John to the point on the ground, "d", is 30 feet.
Using the given values, we can substitute them into the equation:
50^2 = h^2 + 30^2
Simplifying further:
2500 = h^2 + 900
Subtracting 900 from both sides:
h^2 = 1600
To find the value of "h", we need to take the square root of both sides of the equation:
h = sqrt(1600)
h = 40
Therefore, the height of the kite is 40 feet.