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Nonparallel lines tangent to a circle

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).

2450_Nonparallel lines.JPG

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.

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