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

Question

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

Answer 1

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.

Answer 2

We sure are lucky it did not sag.

Answer 3

Yes, that's true! In this calculation, we assumed that the guy wire is perfectly taut and does not sag. In reality, if the guy wire were not properly tensioned or if there were additional factors such as wind or load, the guy wire could potentially sag. Ensuring proper tension and stability is important for the safety and functionality of the tower structure.