A park maintenance person stands 16 m from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 47. What is the measure of the arc of the monument that her lines of sight intersect?

Question

133
227
233
127

Answer 1

The measure of the arc of the monument that her lines of sight intersect is 127.

This can be calculated using the formula:

Arc length = 2 * π * r * (angle / 360)

In this case, the radius of the monument is 16m and the angle is 47 degrees. Plugging these values into the formula:

Arc length = 2 * π * 16 * (47 / 360) = 2 * π * 16 * (0.1306) ≈ 127

Therefore, the measure of the arc of the monument that her lines of sight intersect is 127.