Assignment:
Two distinct, nonparallel lines are tangent to a circle. See picture below. The measurement of the angle between the two lines is 54° (angle QVP).
a. Suppose the diameter of the circle is 2cm. What is the distance VP?
- Suppose the distance VP is 3.93 cm. What is the diameter of the circle?
- Find a formula for d, the diameter of the circle, in terms of VP.
- Find a formula for VP in terms of d, the diameter of the circle.
Reference:
Bittinger, M. L., & Beecher, J. A. (2000). Trigonometry update. Reading, MA: Addison Wesley.
Provide complete and step by step solution for the question and show calculations and use formulas.