MATH 115 Quiz 4 Summer 2022 Trigonometric Function

MATH 115 Quiz 4 Summer 2022 Trigonometric Function

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MATH 115 Quiz 4 Summer 2022 Trigonometric Function

Solve the problem.

1) A pendulum swings through an angle of 15° each second. If the pendulum is 20 inches long, how far does its tip move each second? If necessary, round the answer to two decimal places.

2) A radio transmission tower is 250 feet tall. How long should a guy wire be if it is to be attached 25 feet from the top and is to make an angle of 30° with the ground? Give your answer to the nearest tenth of a foot.

3) A straight trail with a uniform inclination of 12° leads from a lodge at an elevation of 545 feet to a mountain lake at an elevation of 6400 feet. What is the length of the trail (to the nearest foot)?

Use identities to find the indicated value. Where necessary, rationalize denominators.

4) sin t = , cos t = Find csc t.

Use the given triangles to evaluate the expressions. Rationalize all denominators.

5) cos 60°

6) tan 135°

7) sin 150°

Verify the identity.

8)

Use the given information to find the exact value of the expression.

9) tan θ = 13/12, θ lies in quadrant III Find sin 2θ.

Use the given information to find the exact value of the trigonometric function.

10) csc θ = 3, θ lies in quadrant I Find .

RUBRIC
Excellent Quality 95-100%	Introduction 45-41 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.		Literature Support 91-84  points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.			Methodology 58-53 points Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met.
Average Score 50-85%	40-38 points More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.		83-76  points Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.			52-49  points Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met.
Poor Quality 0-45%	37-1 points The background and/or significance are missing. No search history information is provided.		75-1 points Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration.			48-1 points There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met
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MATH 115 Quiz 4 Summer 2022 Trigonometric Function

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