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Trigonometry Word Problems and Geometry

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1. Find the length L from point A to the top of the pole.

2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E. How far is the fire from B?

3. The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far with the car travel in one minute?

4. A regular octagon is inscribed in a circle of radius 15.8 cm. Find the perimeter of the octagon.

5. What is the angle of elevation of the sun when a 35-ft mast casts a 20-ft shadow?

6. 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?
b. Suppose the distance VP is 3.93 cm. What is the diameter of the circle?
c. Find a formula for d, the diameter of the circle, in terms of VP.
d. Find a formula for VP in terms of d, the diameter of the circle.

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Trigonometry Word Problems and Geometry problems are solved.

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