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Post One Assessment Review
____ 1. Which of the following cannot be the lengths of a 30°-60°-90° triangle?
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
2. What is the length of the diagonal of a square with side lengths [pic]
3. The length of the diagonal of a square is 22. What is the length of each side?
4. Find the value of x and y.
[pic]
5. The altitude of an equilateral triangle is 6. What is the length of each side?
6. A baseball "diamond" is a square with a side length of 90 feet. How far is the throw from third base to first base? (Round your answer to one decimal place.)
[pic]
7. Find the measure of angle S.
[pic]
8. A tree 19 feet tall casts a shadow which forms an angle of 49° with the ground. How long is the shadow to the nearest hundredth?
[pic]
Writing:
9. Explain how a tangent ratio can be used to find the height of the building in the figure below. Find the height of the building when [pic] = 35°.
[pic]
Use a special right triangle to find the tangent of the given angle.
10. 60°
11. Write the trigonometric ratio.
a. cos B
b. tan A
c. sin B
[pic]
12. Use a calculator to find the value of cos 41° to four decimal places.
13. A 220 ft string attached to a kite makes a [pic] angle with the ground. What is the height of the kite to the nearest tenth?
14. A parasailing company uses a 50-foot cable to connect the parasail to the back of the boat. About how far is the parasail from the water when the cable has a 35° angle of elevation? Explain how you got your answer.
[pic]
15. Find the missing side lengths for x and y.
[pic]
____ 16. A circle is the set of all points in a plane that _____.
|a. |have a center |c. |have a diameter |
|b. |are equidistant from a given point |d. |lie within a given radius |
____ 17. The center of a circle lies on _____.
|a. |every diameter |c. |a tangent line |
|b. |the circle |d. |every chord |
____ 18. If a circle has a diameter of 12, then it has _____.
|a. |a radius of 4 |c. |a radius of 6 |
|b. |a radius of 24 |d. |a diameter of 6 |
19. Given RP = 22, RA = 6, and [pic] is tangent to [pic] at Q, find PQ.
[pic]
20. In the diagram, [pic] is a radius of circle R. Is [pic] tangent to circle R? Explain.
[pic]
21. Find the measure of [pic] in [pic].
[pic]
Use the diagram (not draw to scale) and the given information.
[pic]
22. Find the value of x if m[pic] = 59° and m[pic] = 47°.
23. Find the measure of ∠1.
[pic]
24. Find the measure of ∠1.
[pic]
Find the value of x.
25. [pic]
26. [pic]
27. Mike was in charge of collecting contributions for the Food Bank. He received contributions of $20, $100, $30, $20, and $60.
Find the following:
mean (average)
median
mode
range
28. The data below represent the price of a dress at ten stores. Find the mean, median, and mode of the data.
85, 99, 90, 98, 90, 86, 93, 95, 87, 96
Last year the Wolverine basketball team scored the following number of points in its 10 games.
Number of points: 72, 61, 64, 58, 63, 75, 72, 81, 64, 72
29. Find the mean, the range, and the standard deviation of the data.
30. Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean of [pic] and a standard deviation of [pic] What is the probability that a randomly selected high jumper has a personal best between 199 and [pic]
____ 31. The class average on a math test was 82 and the standard deviation was 5.4. Find the z-score for a test score of 70.
|a. |≈ –2.22 |c. |≈ 12.96 |
|b. |≈ –12.96 |d. |≈ 2.22 |
32. The class average on a test was 85, with a standard deviation of 3.8. Find the probability that a student received at least a 76 on the test.
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