### Home > CCA2 > Chapter 7 > Lesson 7.1.4 > Problem7-62

7-62.

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?

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.

$58^{\circ},122^{\circ},238^{\circ}\text{ or}\ 302^{\circ}$