- 1. What equation would you use to find whether or not a triangle with sides of 5, 7, 8 is a right triangle?
A) 82 + 62 = 72
B) 10 + 14 = 16
C) 52 + 72 = 64
D) 82 - 72 = 62
- 2. Find the hypotenuse of a right triangle with legs of 18 and 14.
A) 11.3
B) 64
C) 22.8
D) 8
- 3. What is the theorem for finding the leg of a right triangle
A) c2 - a2 = b2
B) b2 - c2 = a2
C) a2 + b2 = c2
D) a2 x b2 = c2
- 4. Daniel lost the key to his house. There is a window 20 feet above the ground that Daniel can climb through to get into the house. He has a 32 foot ladder. How far can he place the ladder from the house and still be able to reach the window?
A) 38 feet
B) 28 feet
C) 18 feet
D) 25 feet
- 5. The City of Holly Hill is planning a new park. The plans that they received from Bryan, the architect, shows that a swimming area is 500 yards west of the parking area and the campground is 1000 yards north of the parking area. The City of Holly Hill would like Bryan to include a path that would lead directly from the swimming area to the campground. About how long would the path be?
A) about 120 ft
B) about 870 ft
C) about 1870 ft
D) about 1120 ft
- 6. A triangle has sides of 11, 7, 12, is this a right triangle?
A) yes
B) no
- 7. A suitcase measures 26 inches long and 16 inches high. What is the diagonal length of the suitcase to the nearest tenth of a foot?
A) 35.5 in
B) 30.5 in
C) 20.5 in
D) 42 in
- 8. A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base
A) 125 ft
B) 127.3 ft
C) 27.3 ft
D) 28.5 ft
- 9. Mrs. Green tells you that a right triangle has a hypotenuse of 14 cm and a leg of 6 cm. She asks you to find the other leg of the triangle, to the nearest tenth.
A) 13 cm
B) 15.2 cm
C) 12.6 cm
D) 12 cm
- 10. Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the neasrest tenth of a mile, they must travel to return to their starting point?
A) 6 miles
B) 9.4 miles
C) 6.2 miles
D) 10 miles
- 11. Cedric's doghouse is shaped like a tent. The slanted sides are both 6 feet long and the bottom of the house is 4 feet across. What is the height of the doghouse, in feet, at its tallest point?
A) 4 feet
B) 6 feet
C) 5 feet
D) 3 feet
- 12. Daniel made a small rectangular table for his workroom. The sides of the table are 34" and 16". If the diagonal of the table measures 40", is the table square? A table which is "square" has right angles at the corners.
A) yes
B) no
- 13. Find the missing side b = 19; c = 22
A) 23
B) 15
C) 11
D) 29
- 14. A water skiing ramp has a height of 14 feet and a base of 24.5 feet. What is the length of the ramp, to the nearest tenth?
A) 22.8 feet
B) 20.1 feet
C) 30.5 feet
D) 28.2 feet
- 15. Grain elevators are conveyor belts used throughout the Midwest to take produce, like wheat, to the top of a silo for storage. How long would the belt of the grain elevator need to be if the bottom is 75 feet from the base of the silo that is 75 feet high? Round your answer to the nearest whole number.
A) 110 feet
B) 160 feet
C) 106 feet
D) 100 feet
- 16. A rope from the top of a mast on a sailboat is attached to a point 8 feet from the base of the mast. If the rope is 28 feet long, how high is the mast, to the nearest foot?
A) 24 ft
B) 26 ft
C) 27 ft
D) 29 ft
- 17. An airplane leaves a runway and travels 3620 meters through the air. It travels a ground distance of 2700 meters. What is the altitude of the plane, to the nearest tenth of a meter?
A) 6320 m
B) 2411.3 m
C) 3201.5 m
D) 4516.0 m
- 18. Christine is preparing to clean the windows on the second floor of her house. The windows are 28 feet above the ground and the ladder is 32 feet long. How far away does the ladder have to be from the house so that it is at the bottom of the window? Round to the nearest foot.
A) 43 ft
B) 18 ft
C) 15 ft
D) 12 ft
- 19. Justin is setting up his tent. The ropes that are used to hold the tent down are 19 feet long, and the roof of the tent ends 8 feet above the ground. What is the farthest distance from the base of the tent that the rope can be staked down? Round your answer to the nearest foot.
A) 21 ft
B) 20 ft
C) 18 ft
D) 17 ft
- 20. Ricky owns a landscaping firm. He must plant and stake a tree. The stakes are 3 meters from the base of the tree. They are connected to wires that attach to the trunk of the tree at a height of 5.5 meters. If there is 1/2 of a meter of extra length at both ends of each wire, how long must each wire be?. Round your answer to the nearest tenth of a meter.
A) 6.3 m
B) 19.6 m
C) 7.3 m
D) 4.6 m
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