To calculate the length of the string, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the height of the kite forms one side of a right triangle, the distance from the turtle to the rock forms the other side, and the length of the string forms the hypotenuse.
Using the given information, we can calculate the length of the string:
Distance from the turtle to the rock = 15 feet
Height of the kite = 20 feet
Using the Pythagorean theorem, we have:
Length of the string^2 = Distance^2 + Height^2
Length of the string^2 = 15^2 + 20^2
Length of the string^2 = 225 + 400
Length of the string^2 = 625
Taking the square root of both sides, we get:
Length of the string = √625
Length of the string = 25 feet
Therefore, the length of the string is 25 feet.
A kite is flying 20
feet high above a turtle. The other end of the string is anchored under a rock that is 15
feet from the turtle.
Image_1929
How long is the string?
Responses
5
feet
5 feet
13
feet
13 feet
25
feet
25 feet
35
feet
1 answer
6 answers