Matt Wolf - Central Bucks School District
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1) x = __________
2) [pic]=_______
[pic]=_______
[pic]=_______
3) [pic]=_______
[pic]=_______
[pic]=_______
4) ¸ =__________
5) x = ____ y = ____
6) x=___ y=___ ¸=___
7) ¸ =__________
8) A = ____ A = __θ =__________
x = ____ y = ____
x=___ y=___ θ=___
θ =__________
A = ____ A = ____
B = ____ B = ____
C = ____ C = ____
9) A =____ A =____
C =____ C =____
c =____ c =____
10) A = ____ A = ____
a = ____ a = ____
c = ____ c = ____
11) A = ____ A = ____
B = ____ B = ____
c = ____ c= ____
12) A =____ A =____
C =____ C =____
c =____ c =____
13) C =____ C =____
a =____ a =____
b =____ b =____
14) B =____ B =____
C =____ C =____
c =____ c =____
For #1-7 provide solutions in fully simplified radical form no decimal answers will be accepted.
1) Use the triangle to solve for x.
2) Use the triangle to evaluate [pic], [pic], and[pic].
3) Use the triangle to evaluate [pic], [pic], and [pic].
4) Calculate the value of θ (decimal is ok).
5) Use the triangle to solve for x and y.
For #6-7 provide solutions in decimal form rounded to the nearest hundredth.
6) Solve for the missing side lengths and angle measure of the triangle.
7) A lighthouse is 70 yards from a highway along the edge of a lake.
A walkway to the lighthouse is 250 yards long. Find the acute
angle θ between the highway and the walkway.
For #8-14 problems may have no solutions, one solution, or two solutions. If a problem has no solutions, write “No Solutions.” If a problem has two sets of solutions, be sure to include both.
8) Solve the triangle with a = 55, b = 25, c = 72. Round to the nearest hundredth.
9) Solve the triangle with B = 150°, a = 10, b = 3. Round to the nearest hundredth.
10) Solve the triangle with B = 25°, C = 35°, b = 3.5. Round to the nearest hundredth.
11) Solve the triangle with C = 55°, a = 3, b = 10. Round to the nearest hundredth.
12) Solve the triangle with B = 25°, a = 6.2, b = 4. Round to the nearest hundredth.
13) Solve the triangle with A = 20°, B = 45°, c = 8. Round to the nearest hundredth.
14) Solve the triangle with A = 110°, a = 125, b =100. Round to the nearest hundredth.
For #15-17 use the figures below each problem.
15) To determine the distance between two aircraft, a tracking station continuously determines the distance to each aircraft and the angle between them. Determine the distance between the planes when A = 75°, b = 51.2 miles, and c = 33.7 miles.
[pic] Solution: _______________
16) Use the map to calculate the measure of the angle created between an airplane flying from Phoenix to Minneapolis and an airplane flying from Phoenix to Albany.
[pic] Solution: _______________
17) From a lighthouse, a person spots a boat that is 20 miles offshore. An hour later, the boat has moved 150° and is only 10 miles offshore. Calculate x, the distance the boat traveled.
[pic] Solution: _______________
[pic]
#6
#7
[pic]
[pic]
#1-4
[pic]
#5
Calculators in DEGREE mode
This Pretest is to be completed as preparation for the Unit Test and will be graded as a section of this test.
Collaboration with classmates is permitted, but copying work is considered cheating and will result in a zero.
The use of class notes is not permitted to complete this assignment.
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