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1. |
A tree that is 5 feet tall casts a shadow 2 feet long. A nearby building casts a shadow that is 20 feet long. How tall is the building? |
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A. |
20 ft |
B. |
0.5 ft |
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C. |
50 ft |
D. |
10 ft |
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Hint |
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2. |
Find the length of the missing side to the nearest hundredth. |
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A. |
7.81 |
B. |
8.25 |
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C. |
8.06 |
D. |
7.62 |
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Hint |
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3. |
In a right triangle, the length c of the hypotenuse is 14 and the length b of one of the legs is 8. Find the length a of the other leg to the nearest hundredth. |
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A. |
19.88 |
B. |
16.12 |
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C. |
11.49 |
D. |
21.23 |
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Hint |
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4. |
Simplify  |
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A. |
 |
B. |
 |
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C. |
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D. |
72 |
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Hint |
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5. |
Find the distance between points with coordinates (3, -2) and (-2, 10). |
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A. |
 |
B. |
 |
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C. |
13 |
D. |
7 |
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Hint |
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6. |
Find the result of |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
What is the perimeter of a rectangle whose length is  and whose width is  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Three houses are sharing their electricity. One house uses  W, another uses  W, and the final one uses  . How much total electricity are they using? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Solve . |
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A. |
{1, –1} |
B. |
–1 |
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C. |
1 |
D. |
no solution |
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Hint |
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10. |
Solve . |
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A. |
{6, 7} |
B. |
7 only |
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C. |
8 only |
D. |
{5, 8} |
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Hint |
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11. |
Tamotsu and Ryan each go to the same school. Tamotsu lives 5 miles north and 3 miles west of the school. Ryan lives 7 miles south and 4 miles east of the school. How far apart do they live? |
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A. |
12.04 miles |
B. |
13.9 miles |
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C. |
7.28 miles |
D. |
2.24 miles |
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Hint |
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12. |
Which of the following is not necessarily true concerning similar triangles? |
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A. |
The measures of their corresponding sides are proportional. |
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B. |
The measures of their corresponding angles are equal. |
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C. |
Each triangle has angles whose sum is 180°. |
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D. |
The measures of their corresponding sides are equal. |
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Hint |
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13. |
Using the figure, which expression is equal to cos 38°? |
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A. |
sin 52° |
B. |
tan 38° |
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C. |
tan 52° |
D. |
sin 38° |
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Hint |
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14. |
Libby looked out of her airplane window at a 32° angle with respect to the horizontal, and saw the Sears Tower building in Chicago. If the airplane had an altitude of 4000 feet, how far away were they from being directly over Chicago? |
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A. |
1616 ft. |
B. |
6401 ft. |
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C. |
9900 ft. |
D. |
2499 ft. |
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Hint |
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