You must receive a level 3 score in EVERY standard in ...
|You must receive a level 3 score in EVERY standard in order to receive credit. |Score |
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|6.1: Find exact values of trigonometric functions. | |
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|Find the exact value of each trigonometric function. (Decimal answers will be marked incorrect!) |
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|CALCULATORS NOT PERMITTED FOR THIS BENCHMARK! |
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|cos -150( 2. sec 180( |
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|3. sin [pic] 4. csc 870( |
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|5. cot [pic] |
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|You must receive a level 3 score in EVERY standard in order to receive credit. |Score |
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|6.2: Find coterminal and reference angles and to covert between units of angle measure. | |
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|Find one positive and one negative angle coterminal with 47º. |Find the reference angle for [pic]. |
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|3. Change – 123º 4’ 56” to its decimal equivalent (to | |
|four decimal places). |4. How many degrees in [pic] revolutions clockwise? |
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|5. Change [pic] its equivalent minute and second notation. | |
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|You must receive a level 3 score in EVERY standard in order to receive credit. |Score |
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|6.3: Solve for missing values in right triangles. | |
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|If [pic] is in standard position and its terminal 2. In right triangle ABC, angle C is the right angle, |
|side lies in Quadrant IV, find the values of the AB=19, and m(A=38(. Find BC. |
|remaining 5 trigonometric functions if [pic]. |
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|3. Draw a right triangle with a hypotenuse of length |
|37 and one leg of length 35. Then solve the triangle. |
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|4. From point A, the angle of elevation to the top of tree is 48°. From point B, a little closer to the tree, the angle of elevation is 69°. If the tree is 35|
|feet tall, what is the distance, in feet, between A and B? Round to the nearest tenth |
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|5. The top of a lighthouse stands 220 feet above sea level. A sailor stands on a boat, 18 feet above sea level. If the lighthouse is set back 40 feet from the |
|shore and the boat is 2.5 miles from the shore, find the angle of elevation from the sailor to the top of the lighthouse. |
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|You must receive a level 3 score in EVERY standard in order to receive credit. |Score |
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|6.4: Use the laws of sines and cosines and corresponding area formulas. | |
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|For each set of values provided, solve the triangle (if possible). Then find the area of the triangle(s) (if possible). |
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|[pic] area: |
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|2. [pic] area: |
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|3. [pic] area: |
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|4. [pic] area: |
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|5. [pic] area: |
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|You must receive a level 3 score in EVERY standard in order to receive credit. |Score |
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|6.5: Use the ambiguous case and the law of sines to solve problems. | |
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|Use the following scenario for all 5 questions: A newspaper ad refers to a plot of land for sale. The ad states that the land is in the shape of a triangle, with|
|one side measuring 8 miles, another side measuring 5 miles, and the angle opposite the 5 mile side measuring 30°. |
|Use the chart for the ambiguous case to determine how many different shapes could be represented. |
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|2/3. Find the missing values for the possible triangle(s). Fill in these values on the triangle(s) you drew in problem 2. Check your answers (roughly) by |
|measuring |
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|4. Draw, TO SCALE, the different triangle(s) possible. (If none, write none.) |
|Hint: Use centimeters, not inches. |
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|5. The ad states that the land is for sale for $5,000. Find the cost per square mile in the triangle(s) you found. |
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