A guy wire reaches from the top of a 120 m television transmitter tower to the ground. The wire makes a 63 angle with the ground find the length of the guy wier
To find the length of the guy wire, we can use trigonometry.
We have a right triangle formed by the guy wire, the tower, and the ground. The angle between the guy wire and the ground is given as 63°.
We can use the sine function, which relates the opposite side length to the hypotenuse length, to find the length of the guy wire.
sin(63°) = opposite / hypotenuse
Let's denote the length of the guy wire as x.
sin(63°) = 120 / x
To find x, we can rearrange the equation:
x = 120 / sin(63°)
Using a calculator, we find:
x ≈ 136.946
Therefore, the length of the guy wire is approximately 136.946 meters.