Question

shira was riding the screamer when it broke down. her seat was 53 jorizontal feet from the central support pole. What was her seat's angle of rtation. Is there more tahn one possible solutions

Answer 1

The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees

Explanation:

Please see the attachment

From the figure, it is evident that

cos AOB = OB/OA = 53/100 = 0.53

Thus, cos-1 (0.53) = 58 degrees

AOB = 58 degree

Also, there are can be other values depending on the quadrants

COB = 180 -58 = 122 degrees

FOB = 360 -58 = 302 degrees

EOB = 180 + 58 = 238 degrees