Test #2B
Accl Precalculus Name ____________________
Rev WS Oblique Triangles
Solve the following oblique triangles using law of sines or cosines. Find all missing angle measures and side measures to the nearest tenth. If your angle is in degrees/minutes – keep all angles in degrees/minutes
|a= 27, b= 35, [pic] |a = 5, b = 4, c = 7 |
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|c = __________ c = __________ |[pic]=_________ [pic]=________ |
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|[pic]= _________[pic]= _________ |[pic]________ [pic]________ |
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|[pic]_________[pic]_________ |[pic]=________ [pic]=________ |
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|3. [pic], b = 5.2, c = 10.1 |4. [pic],b = 7, a = 15 |
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|[pic]= ________[pic]= ________ |[pic]________ [pic]________ |
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|a = _________ a = _________ |[pic]=________ [pic] = ________ |
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|b = _________ b = _________ |c = __________ c = __________ |
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|5. [pic],b= 10, a= 64 |6. [pic],b= 32.9, a= 27.4 |
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|[pic]________ [pic]________ |[pic]________ [pic]________ |
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|[pic]=________ [pic]=________ |[pic]=________ [pic]=________ |
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|c = __________c = __________ |c = __________ c = __________ |
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Find the area of the triangle having the indicated sides and angles. Round to the nearest tenth.
7. b= 22, a = 32, [pic] ________
8. b = 18, c = 22 , [pic] ________
9. A triangular parking lot has sides of 150 feet, 210 feet, and 190 feet. Find the area of the triangle.
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Draw a picture and solve.
10. A plane leaves an airport and flies 650 km with a bearing of[pic]from A to B. The plane then flies 1070 km directly southeast from B to C. Find the bearing from A to C and the distance from the airport.
11. An airplane’s velocity is 500 km/hr with a bearing of [pic]. The wind at the altitude of the plane has a velocity of 50 km/hr with a bearing of [pic]. What is the actual direction and velocity of the plane (since the wind is pushing the plan)?
12. A family is traveling due west on a road that passes a famous landmark. At a given time, the bearing to the landmark is N 62[pic] W, and after the family travels 5 miles further, the bearing is N 38[pic] W. What is the closest the family will be to the landmark?
13. The lengths of the diagonals of a parallelogram are 10 feet and 16 feet. Find the lengths of the sides of the parallelogram if the diagonals intersect at an angle of 28[pic].
Other items:
1. Look over the derivations of sin, cosine and area. Be able to go from one step to the next.
2. Be able to explain why we have to use the smallest angle first on law of sines and why we use law of cosines to find the biggest angle.
3. Make sure you ALWAYS draw a triangle so you can double check your work.
4. Review compositions of inverse trig functions.
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