for a guy wire to a tower is 180 feet long and makes an angle of 34 degrees with the tower.If the ground is level,how far from the base of the tower is the anchor part?
sin 34 = d/180
d = 180 sin 34 = 100.6 ft
44ft
U suck
To find the distance from the base of the tower to the anchor point, we can use trigonometry. The given information includes the length of the guy wire (180 feet) and the angle it makes with the tower (34 degrees).
First, let's label the parts of the triangle.
- The length of the guy wire is the hypotenuse of the triangle.
- The distance from the base of the tower to the anchor point is the adjacent side of the triangle.
- The height of the triangle (the vertical distance from the top of the tower to the anchor point) is the opposite side of the triangle.
Now, we can use the trigonometric function cosine (cos) to find the adjacent side length. The cosine of an angle is the adjacent side divided by the hypotenuse.
cos(angle) = adjacent / hypotenuse
cos(34) = adjacent / 180
To find the adjacent side length, we rearrange the formula:
adjacent = cos(34) * 180
Using a calculator, we get:
adjacent ≈ 148.51 feet
Therefore, the anchor part is approximately 148.51 feet from the base of the tower.