Imagine this pole of height h sticking out of the ground. A wire of length 15 feet connects the top of the pole to a stake in the ground which is located 5 feet from the base of the pole. This arrangement creates a right triangle with legs h (the height of the pole), 5 ft (distance of bottom of pole from stake) and hypotenuse 15 ft.
We can find the height of the pole (h) using either trig or the Pythagorean Theorem. If we use the P. T., then h^2 + 5^2 = 15^2.
This results in h^2 + 5^2 = 15^2, or h^2 + 25 = 225, and so:
h^2 = 200. Thus, h = +√200 = +10√2.
The height of the pole is 10√2 ft, or approx. 14.14 ft.
The height od the pole is 14.14 feet.
The pole and the wire form a right angle triangle. The wire is the hypotenuse.
Pythagoras theorem would be used to determine the height of the pole
The Pythagoras theorem: a² + b² = c²
where
a = length
b = base
c = hypotenuse
√15² - 5² = 14.14 feet
To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
