As a group, work together to submit the answers to the following
problems. Use the Small Group Discussion Board to divide tasks, discuss
strategies for solving problems, and check each other’s work. The
finished product should be one combined document for the entire group,
showing all calculations and graphical representations used.
1. Find the length L from point A to the top of the pole.
Â
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. A V-gauge is used to find the diameters of pipes. In the figure on p.
373 in the text, the measure of angle AVB is 54°. A pipe is placed in
the V-shaped slot and the distance VP is used to predict the diameter.
Suppose that the diameter of a pipe is 2 cm. What is the distance VP?
Suppose that the distance VP is 3.93 cm. What is the diameter of the
pipe?
Find the formula for d in terms of VP.
Find a formula for VP in terms of d.
The line VP is calibrated by listing the corresponding diameters as its
units. This, in effect, establishes a function between VP and d.
Mathematics Homework Solutions
#71736
Trigonometry Problems
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. A V-gauge is used to find the diameters of pipes. In the figure on p. 373 in the text, the measure of angle AVB is 54°. A pipe is placed in the V-shaped slot and the distance VP is used to predict the diameter.
Suppose that the diameter of a pipe is 2 cm. What is the distance VP?
Suppose that the distance VP is 3.93 cm. What is the diameter of the pipe?
Find the formula for d in terms of VP.
Find a formula for VP in terms of d.
The line VP is calibrated by listing the corresponding diameters as its units. This, in effect, establishes a function between VP and d.
Basic trigonometry problems are solved.
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