Question

a mast for a tv antenna stands on top of a flat hotel roof. a 48 foot.guy wire has one end attached to the top of the mast and the other to the roof at a point 26 feet from the base of the mast. How high is the mast?

Answer 1

1. Based on the information given in the problem above, you can draw the rigth triangle shown in the image attached.
2. You must apply the Pythagorean Theorem to calculate the heigth
   `x` of the mast, where the hypotenuse is
   `48 ft` and one leg is
   `26 ft`. Therefore, you must solve for the other leg, which is the height
   `x`:

`x=\sqrt{(48ft)^(2)-(26ft)^(2) } \\ x=40.34 ft`

Therefore, the answer is:
`40.34 ft`