Trigonometry Pre-Assessment
Multiple Choice
Identify the choice that best completes the statement or answers the question. Drawings are not to scale.
Use the figure below to answer the questions #1-4. Round all answers to the nearest whole value. Drawing is not to scale.
____ 1. Would you use Law of Sines or Law of Cosines to find the length of ? Find the length
A. / Law of Sines, AC = 1296 ft / C. / Law of Cosines, AC = 1296 ftB. / Law of Sines, AC = 36 ft / D. / Law of Cosines, AC = 36 ft
____ 2. Would you use Law of Sines or Law of Cosines to find ? Find the measure.
A. / Law of Cosines, / C. / Law of Sines,B. / Law of Cosines, / D. / Law of Sines,
____ 3. Find the area of triangle ACD.
A. / 264 ft2 / C. / 56 ft2B. / 528 ft2 / D. / 112 ft2
____ 4. Using the information from questions 1-3, find the length of .
A. / 4 feet / C. / 32 feetB. / 19.7 feet / D. / 31 feet
____ 5. Designers use triangles in their designs for added support. Below are some custom welded trusses for trade show displays. The third picture is a cut out of one triangle from the truss, find the missing length. Round to the tenths place.
*Note: Images from the website of 1TradeShowShop.com
A. / 892.3 inches / C. / 31.2 inchesB. / 210.9 inches / D. / 29.7 inches
____ 6. For structural reasons bridges often have criss crossing trusses underneath. These trusses make many triangles like the figures below. Use the second figure to help find the missing length. Round to the nearest inch.
*Note: Image taken from http://www.rogersconnection.com/triangles/ /
A. / 8 feet 1 inch / C. / 171 ft 8 inches
B. / 1632 feet 11 inches / D. / 77 ft 1 inch
____ 7. To find the missing length below, would you use Law of Sines or Law of Cosines. Find the missing length.
A. / Law of Cosines, 27 cm / C. / Law of Sines, 1199.2 cmB. / Law of Cosines, 727.4 cm / D. / Law of Sines, 34.6 cm
____ 8. Using the figure below, find the measure of angle A. Round your answer to the nearest degree. Drawing is not to scale.
A. / 56º / C. / answer is undefined, it is not possible to find this angle measure.B. / 124º / D. / 146º
____ 9. Triangles are used in buildings and bridges because they are rigid which makes them strong. Below you see one example of triangles in a building. Use the figure on the right to find the area of one of the giant triangles on this building.
*Note: Image taken from http://www.blog.republicofmath.com/archives/2498 /
A. / 21,518 ft2 / C. / 15,690 ft2
B. / 20,920 ft2 / D. / 31,380 ft2
____ 10. Find the area of the triangle below.
A. / 478.2 in2 / C. / 298.9 in2B. / 239.1 in2 / D. / 358.6 in2
____ 11. Find the area of the triangle below:
A. / 163.6 in2 / C. / 98.9 in2B. / 236.2 in2 / D. / 197.8 in2
____ 12. Use the figure below to find the length of the hypotenuse. Round to the nearest meter.
A. / 0.05 m / C. / 24 mB. / 19 m / D. / 12 m
____ 13. A sailboat sail is shaped like a right triangle. Use the figure below to find the height of that sail. Round to the nearest inch.
A. / 7 ft 2 in / C. / 5 ft 4 inB. / 8 ft 7 in / D. / 7 ft 4 in
____ 14. Using the figure below, find the missing angle measures.
A. / x = 39º, y = 51º / C. / x = 32º, y = 58ºB. / x = 51º, y = 39º / D. / x = 58º, y = 32º
____ 15. A kite is made of two pairs of congruent triangles. Given AB = 7 feet, BC = 20 feet and EB = 3 feet. Find the measures of the angles of the kite. Round to the nearest degree.
A. / / C. /B. / / D. /
____ 16. Find the area of the triangle below. Round to the nearest tenth.
A. / 1162.3 mm2 / C. / 701.0 mm2B. / 581.2 mm2 / D. / 472.8 mm2
____ 17. Find the area of the rectangle below. Round to the nearest tenth.
A. / 1092.5 cm2 / C. / 2916.4 cm2B. / 546.2 cm2 / D. / 7218.2 cm2
____ 18. Find the length of the hypotenuse of this triangle.
A. / 12 cm / C. /B. / 24 cm / D. /
____ 19. Find the area of this triangle.
A. / 256 cm2 / C. / 32 cm2B. / 128 cm2 / D. / 64 cm2
____ 20. Determine the two missing lengths in the triangle below:
A. / a = cm, b = 4 cm / C. / a = cm, b = cmB. / a = cm, b = cm / D. / a = cm, b = 16 cm
____ 21. Determine the two missing lengths in the triangle below:
A. / m, m / C. / m, mB. / m, m / D. / m, m
____ 22. What is the exact value of the cosine of 45º?
A. / / C. / -B. / 1 / D. /
____ 23. What is the exact value of the sine of 120º?
A. / / C. /B. / - / D. /
____ 24. What is the exact value of the tangent of 150º?
A. / / C. / -B. / / D. /
____ 25. How are the cosine and sine of 30° and its complement 60° related?
A. / The sine of 30° and the cosine of 30° are both . / C. / The sine of 60° and the cosine of 60° are both .B. / The sine of 30° and the cosine of 60° are both . / D. / The sine of 30° and the cosine of 60° are both .