Find the length of a guy wire that makes an angle of 45.5 degrees with the ground if the wire is attached at the top of a tower 63.0 meters high

To find the length of the guy wire, we can use trigonometric functions. In this case, we can use the sine function because we have the opposite and hypotenuse sides of a right triangle.

Let's name the length of the guy wire as "x" and the height of the tower as "63.0 meters".

In a right triangle, the opposite side is the side opposite to the angle we are interested in, and the hypotenuse is the longest side (the guy wire in this case).

The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse:

sin(angle) = opposite / hypotenuse

In this case, we have:

sin(45.5 degrees) = 63.0 meters / x

To find x, we can rearrange the equation:

x = 63.0 meters / sin(45.5 degrees)

Now, we can evaluate the expression:

x = 63.0 meters / sin(45.5 degrees) ≈ 89.07 meters

Therefore, the length of the guy wire is approximately 89.07 meters.

Tan45.5=63.0/L

L=63.0/tan45:5=??

actually, the length of the wire is

63.0/L = sin 45.5°

the formula used by Collins gives the distance of the wire's anchor to the base of the pole.