CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 4. Basic Triangle Trigonometry



  1. Draw a picture of this situation.

  2. What methods or techniques will you use?

  3. Solve the problem.
    A boat travels 6 miles NW and then 2 miles SW. You want to know how far away the boat is from its starting point.

  4. Draw a picture of this situation.

  5. What methods or techniques will you use?

  6. Solve the problem.
    You want to figure out the height of a building. From pointA, you measure an angle of elevation to the top of the
    building to beα= 10 ◦. You move 50 feet closer to the building to pointBand find that the angle to the top of the
    building is nowβ= 60 ◦.

  7. Draw a picture of this situation.

  8. What methods or techniques will you use?

  9. Solve the problem.

  10. Given∆ABCwithA= 40 ◦,C= 65 ◦andb= 8 in, what isa?

  11. Given∆ABCwithA=π 3 radians,C=π 8 radiansandb= 12 inwhat isa?

  12. Given∆ABCwithA=π 6 radians,C=π 4 radiansandb= 20 inwhat isa?
    The relationship between the sides and angles of all kinds of triangles were explored though the use of the six basic
    trigonometric functions.

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