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Trigonometry Unit - 30 Questions Practice Test | MATH 140, Exams of Mathematics

University of Tennessee MartinMathematics
Prof. Yelena Meadows

Material Type: Exam; Professor: Meadows; Class: Col Alg&Elem Func; Subject: Mathematics; University: The University of Tennessee-Martin; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

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UT Martin Math 140
Trigonometry Unit Practice Test
Instructor:YelenaMeadows Page1
1. Add the measures of the following angles: '2390'4723 00 +
2. Subtract the measures of the following angles: "07'2419'0545 00 −
3. Change "06'15300to decimal degree form (DMS →DD)
4. Change 0
3456.12 to degree-minute-second form. (DD→DMS).
5. Find the value of '1015sin 0. Round your answer to four decimal places.
6. Find the value of "1280cos 0. Round your answer to four decimal places.
7. Find the value of '1548tan 0. Round your answer to four decimal places.
8. Find the value of "158csc 0. Round your answer to four decimal places.
9. Find the value of "1280sec 0. Round your answer to four decimal places.
10. Find the value of "12'0685cot 0. Round your answer to four decimal places.
11. 9876.0cos =
θ
. Find the acute angle
θ
. Give your answer in both DD (round to
two decimal places) and DMS (round to the nearest minute) forms.
12. 5602.0sin =
θ
. Find the acute angle
θ
. Find the acute angle
θ
. Give your answer
in both DD (round to two decimal places) and DMS (round to the nearest minute)
forms.
13. 5tan =
θ
. Find the acute angle
θ
. Give your answer in both DD (round to two
decimal places) and DMS (round to the nearest second) forms.
14. 25csc =
θ
. Find the acute angle
θ
. Give your answer in both DD (round to two
decimal places) and DMS (round to the nearest second) forms.
15. 01.2sec =
θ
. Find the acute angle
θ
. Give your answer in both DD (round to two
decimal places) and DMS (round to the nearest second) forms.
16. 5678.0cot =
θ
. Find the acute angle
θ
. Give your answer in both DD (round to
two decimal places) and DMS (round to the nearest second) forms.
17. Given a right triangle ΔABC, where m
∠
C0
90=, find the exact values of six
trigonometric functions of
∠
A. It is known that b = 12 and c = 612.
18. Use the given information to solve the right triangle ABC in which 0
90=∠Cm .
Use appropriate to the problem rounding. It is known that 1501.39 0==∠ cAm .
pf2

Partial preview of the text

Download Trigonometry Unit - 30 Questions Practice Test | MATH 140 and more Exams Mathematics in PDF only on Docsity!

UT Martin Math 140 Trigonometry Unit Practice Test

Instructor: Yelena Meadows Page 1

  1. Add the measures of the following angles: 23 0 47 '+ 90023 '
  2. Subtract the measures of the following angles: 45 0 05 '− 19024 ' 07 "
  3. Change 30 015 ' 06 "to decimal degree form (DMS → DD)
  4. Change 12. 34560 to degree-minute-second form. (DD → DMS).
  5. Find the value of sin 15010 '. Round your answer to four decimal places.
  6. Find the value of cos 80012 ". Round your answer to four decimal places.
  7. Find the value of tan 48015 '. Round your answer to four decimal places.
  8. Find the value of csc 8015 ". Round your answer to four decimal places.
  9. Find the value of sec 80012 ". Round your answer to four decimal places.
  10. Find the value of cot 850 06 ' 12 ". Round your answer to four decimal places.

11. cos θ = 0. 9876. Find the acute angle θ. Give your answer in both DD (round to

two decimal places) and DMS (round to the nearest minute) forms.

12. sin θ = 0. 5602. Find the acute angle θ. Find the acute angle θ. Give your answer

in both DD (round to two decimal places) and DMS (round to the nearest minute) forms.

13. tan θ = 5. Find the acute angle θ. Give your answer in both DD (round to two

decimal places) and DMS (round to the nearest second) forms.

14. csc θ = 25. Find the acute angle θ. Give your answer in both DD (round to two

decimal places) and DMS (round to the nearest second) forms.

15. sec θ = 2. 01. Find the acute angle θ. Give your answer in both DD (round to two

decimal places) and DMS (round to the nearest second) forms.

16. cot θ = 0. 5678. Find the acute angle θ. Give your answer in both DD (round to

two decimal places) and DMS (round to the nearest second) forms.

  1. Given a right triangle Δ ABC, where m ∠ C = 900 , find the exact values of six trigonometric functions of ∠ A. It is known that b = 12 and c = 2 61.
  2. Use the given information to solve the right triangle ABC in which m ∠ C = 900. Use appropriate to the problem rounding. It is known that m ∠ A = 39. 10 c = 150.

UT Martin Math 140 Trigonometry Unit Practice Test

Instructor: Yelena Meadows Page 2

  1. The Washington Monument is 555 ft high. What is the angle of elevation to the top of the monument from a point on the ground 444 ft away?
  2. A ship leaves from a port on a bearing of S 30. 50 W. How far south has the ship traveled during a trip of 200 miles?
  3. Bird lookout A over a lake is 0.9 miles due north of bird lookout B over the same lake. An observer from lookout A spots an eagle at a bearing of S 68 0 E. Another observer at the lookout B spots the same eagle at a bearing N 22 0 E. How far is the eagle from each of the observers?
  4. Solve the triangle ABC: m ∠ A = 35 0 a = 15. 0 c = 30. 7
  5. Solve the triangle ABC: a = 400 b = 350 c = 200.
  6. Solve the triangle ABC: m ∠ C = 105. 40 c = 115. 7 a = 80. 0
  7. Solve the triangle ABC: a = 3. 0 b = 5. 6 m ∠ A = 40. 00
  8. A boat in a lake is spotted by observers at lighthouses A and B along the coast. Lighthouse B is 2.50 miles due east of lighthouse A. The bearing of the boat from lighthouse A is S 300 E ; the bearing of the boat from lighthouse B is S 50 0 W. Find the distance from each lighthouse to the crash site. (Round off your final answer to two decimal places.)
  9. A ship leaves port at on a heading N 300 E , sailing at 12 knots. Ten hours later the ship turns on a heading of N 76 0 W and sails to a point due north of the port. How far is the ship away from the port?
  10. Two ships leave Charleston harbor together, traveling on courses that have an angle of 120 015 'between them. If they each travel 300 mi, how far apart are they?
  11. Find the number of acres in a triangular field whose sides are 450 ft, 900 ft, and 1100 ft. (One acre contains 43,560 sq ft.)
  12. A city manager wants to hire a landscaping company to establish a flower bed at a corner of the City Hall property. All bidding landscapers want to know the area of the property that is to be landscaped. City manager’s records indicate that sides that form a 95 degree angle are 40 ft and 55 ft. Help the city manager to calculate the area of the future flower bed.