Technical Mathematics, Sixth Edition

6.7. CHAPTER 6 REVIEW PROBLEMS

1. A rocket ascends in a straight path at constant velocity at an angle of 60.0° with the horizontal. After 1.00 min, it is directly over a point that is a horizontal distance of 12.0 mi from the launch point. Find the speed of the rocket. 1440 ml/h

2. A rectangular beam 16 in. thick is cut from a log 20 inches in diameter. Find the greatest depth beam that can be obtained. 12 in.

3. A cylindrical tank 4.00 m in diameter is placed with its axis vertical and is partially filled with water. A spherical diving bell is then completely immersed in the tank, causing the water level to rise 1.00 m. Find the diameter of the diving bell. 2.88 m

4. Two vertical piers are apart and support a circular bridge arch. The highest point of the arch is 30.0 ft higher than the piers. Find the radius of the arch. 255 ft

5. Two antenna masts are 10 m and 15 m high and are 12 m apart. How long a wire is needed to connect the tops of the two masts? 13 m

6. Find the area and the side of a rhombus whose diagonals are and 140. 7000; 86

7. Find the area of a triangle that has sides of length 573, 638, and 972. 175,000 square units

8. Two concentric circles have radii of 5.00 and 12.0. Find the length of a chord of the larger circle which is tangent to the smaller circle. 21.8 units

9. A belt that does not cross goes around two pulleys, each with a radius of 4.00 in. and whose centers are 9.00 in. apart. Find the length of the belt. 43.1 in.

10. A regular triangular pyramid has an altitude of 12.0 m, and a base 4.00 ...