3. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 26 inches long. What is the side length of each piece?

Question

A. 13 inches
B. 13 √2 inches
C. 13 √3 inches
D. 26 √2 inches***

4. Find the missing value to the nearest hundredth. sin ______ = 9/16
A. 25.94 degrees
B. 29.36 degrees
C. 34.23 degrees
D. 55.77 degrees

5. Find the missing value to the nearest hundredth. cos_______ = 9/20
A. 26.74 degrees
B. 80.63 degrees
C. 63.36 degrees
D. 24.23 degrees

6. Viola drives 200 meters up a hill that makes an angle of 9 degrees with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?
A. 1,262.8 meters
B. 200.4 meters
C. 197.5 meters
D. 31.3 meters

7. The students in Mr. Collin's class used a surveyor's measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance.
(There is a large rectangle with a triangle to its right. The bottom right of the triangle says 72 degrees and the bottom of the triangle says 100 ft.)
To the nearest foot, what is the height of the building?
A. 2,400 ft
B. 72 ft
C. 308 ft
D. 33 ft

Answer 1

3. B. 13 √2 inches
4. B. 29.36 degrees
5. A. 26.74 degrees
6. C. 197.5 meters
7. C. 308 ft