Question

a 60 foot cable is stretched from the top of a pole to an anchor it is anchored on the ground 19 feet away from the base of the pole how tall is the pole

Answer 1

Explanation:

This forms a right triangle

one leg is 19 ft the other is the height of the pole

the hypotenuse is 60 ft

Using Pythagorean theorem

60^2 = 19^2 + height ^2

height = 56.9 ft

Answer 2

56.95 feet

Explanation:

To find the height of the pole, you can use the Pythagorean Theorem because the cable, the height of the pole, and the distance from the base of the pole to the anchor form a right triangle.

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).

In this case, the height of the pole is the side we want to find (let's call it "h"), the distance from the base of the pole to the anchor is 19 feet (let's call it "d"), and the cable's length is 60 feet (the hypotenuse).

So, the equation is:

h^2 + d^2 = hypotenuse^2

h^2 + 19^2 = 60^2

Now, we can solve for "h":

h^2 + 361 = 3600

Subtract 361 from both sides:

h^2 = 3600 - 361

h^2 = 3239

Now, take the square root of both sides to find "h":

h = √3239

h ≈ 56.95 feet

So, the height of the pole is approximately 56.95 feet.