Answer:
The height of the pole is 10√2 ft, or approx. 14.14 ft
Explanation:
The pole with the wire attached to the stake in the ground, form a right triangle.
Let's use this equation to solve:
a² + b² = c²
a can represent the height of the pole, b can represent the width between the stake and the base of the pole, which is 5 feet, and in this scenario, we already know the value of c², which is the length of the wire, 15 feet.
So let's substitute what we already know:
a² + 5² = 15²
Square:
a² + 25 = 225
Reverse the equation:
225 - 25 = 200
Find the square root of a²:
√200 = 10√2
This can also be seen as 14.1421356 or 14.14