To secure a 500-meter radio tower against high winds, guy wires are attached to the top of the tower. Each wire forms

To secure a 500-meter radio tower against high winds,
guy wires are attached to the top of the tower. Each wire
forms a 15° angle with the top of the tower. Find the length
of the wire from the tower to its anchor in the ground.

1 thought on “To secure a 500-meter radio tower against high winds, guy wires are attached to the top of the tower. Each wire forms”

  1. Answer: To find the length of the wire from the tower to its anchor in the ground, you can use the formula for the length of a side in a 30-60-90 triangle. Since the angle between the wire and the tower is 15°, the angle between the wire and the ground is 75° (90° – 15°). This means that the wire and the tower form a 30-60-90 triangle.
    In a 30-60-90 triangle, the side opposite the 30° angle is half as long as the hypotenuse, and the side opposite the 60° angle is half as long as the side opposite the 90° angle. Since the wire is the hypotenuse of the triangle, and the wire is opposite the 60° angle, the length of the wire from the tower to its anchor in the ground is half as long as the hypotenuse.
    Therefore, the length of the wire from the tower to its anchor in the ground is 500/2 = 250 meters.

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