the height difference is 15 ft.
So, now just use the Pythagorean Theorem for a triangle with legs of 15 and 36
Hint: Recall that one of your standard right triangles is 5-12-13
Show your work.
So, now just use the Pythagorean Theorem for a triangle with legs of 15 and 36
Hint: Recall that one of your standard right triangles is 5-12-13
In this case, the two poles and the tightrope form a right triangle. The distance between the poles (36 feet) is the base of the triangle. The height of the triangle is the difference in height between the two poles (25 ft - 10 ft = 15 ft).
Let's label the base as 'b', the height as 'h', and the hypotenuse (length of the tightrope) as 'c'.
According to the Pythagorean theorem: c^2 = b^2 + h^2
Plugging in the values we know:
c^2 = 36^2 + 15^2
Simplifying the equation:
c^2 = 1296 + 225
c^2 = 1521
To find the value of 'c', we need to find the square root of both sides:
c = √(1521)
Calculating the square root:
c = 39
So, the length of the tightrope is 39 feet.