A radio tower is 100 feet high. A support cable 140 feet long is fastened to the top of the tower and is anchored in the ground. How far from the base of the tower will the cable be anchored? Give your
answer to the nearest foot.

plz help me

What we need to do is visualize what the problem says. We know there's a tower of 100 feets which has a support cable at the top which measures 140 feet, and we need to calculate how far from the tower is the cable anchored.

What we need to do is using the Pythagorean Teorem, as we have a rectangular triangle (we assume the tower is vertical).

We know the hypotenuse is 140 feets, as it's the lenght of teh cable, and one of the triangle sides is 100 feets, as it's the tower height.

As the Pythagorean Teorem says (being c the hypotenuse)

We can now replace on the numbers we have

Now, we solve by operating:

;  ; b = 98

Now, we know the cable is 98 feets far from it

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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step-by-step explanation: