### Home > INT3 > Chapter 9 > Lesson 9.1.4 > Problem9-52

9-52.

Shinna was riding The Screamer when it broke down. Her seat was 53 horizontal feet from the central support pole. What was her seat’s angle of rotation? How can you tell? Homework Help ✎

Make a drawing. Label a triangle in quadrant 1 with the information given in the problem.
Notice that you are given the horizontal distance and you know the radius (hypotenuse).

$\cos (\theta) = \frac{53}{100}. \text{ Solve for } \theta .$

Consider where she would be if she were in one of the other three quadrants with the same reference angle.

58°, 122°, 238° or 302°