We want to find out how high above the ground the hand of the superhero balloon is. Let's take a look at the picture.
First, we will find the value of x. To do this, we can use the Pythagorean Theorem.
The Pythagorean Theorem
In a right triangle, square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
We can write this theorem as an equation, where a and b are the lengths of the legs of the triangle and c is the length of the hypotenuse.
a^2+ b^2= c^2
In our picture, the two wires attached to the hand of the superhero balloon and the distance between two people holding these wires form a right triangle. In this triangle, x is the length of one of the legs. Additionally, the length of the other leg is 11 ft and the length of the hypotenuse is 61ft. Let's substitute these values into the equation and solve for x.
The value of x is 60ft. Finally, to find the height of the superhero's hand, notice that the wire starts 6ft above the ground. This means that we need to add these two values to calculate the total height.
60+ 6=66
The hand of the superhero balloon is 66 feet above the ground.
