The base of a cell phone tower is an equilateral triangle with sides 10 ft long. How far is one corner of the triangle from the center of the of the triangle?
To find the distance from one corner of the equilateral triangle to the center, we will use the following formula:
Distance = (side length) / (√3)
In this case, the side length of the triangle is 10 ft. Plugging the value into the formula, we get:
Distance = 10 ft / (√3)
Now, to find the exact value of the distance, we can simplify the expression:
Distance ≈ 10 ft / 1.732
Dividing 10 by approximately 1.732, we get:
Distance ≈ 5.77 ft (rounded to two decimal places)
Therefore, the distance from one corner of the equilateral triangle to the center is approximately 5.77 ft.