Chapter RIThe depth of the ocean is sometimes measured in fathoms (1 fathom 6 fe
ID: 1525452 • Letter: C
Question
Chapter RIThe depth of the ocean is sometimes measured in fathoms (1 fathom 6 feet). Distance on the surface of the ocean is sometimes measured in nautical miles i nautical mile- 6076 feet). The water beneath a surface rectangle 1.7 nautical miles by 2.1 nautical miles has a depth of 19 fathoms. Find the volume of water (in cubic meters) beneath this rectangle. Chapter RYou are driving into St. Louis, Missouri, and in the distance you see the famous Gateway-to-the-West arch. This monument rises to a height of 192 m. You estimate your line of sight with the top ofthe arch to be 2.37 above the horizontal. Approximately how far (in kilometers) are you from the base of the arch? Chapter Problem REThe gondola ski lift at a ski resort has a cable which is 2600 m long. On average, the ski lift rises 21 above the horizontal. How high is the top ofthe ski lift relative to the base? Assume the cable does not sag. Chapter 1 highway is to be built between two towns, one of which lies 36.0 km east and 42.0 km north of the other. (a) What is the shortest length of highway that can be built between the two towns, and (b) at what angle would this highway be directed, as a positive an with respect to due gle east? Chapter 1 RThe drawing shows sodium and chlorine ions positioned at the comers of a cube that is part of the crystal structure of sodium chloride (common table salt). The edge of the cube is 0.281 nm (I nm 1 nanometer 10 m) in length. (a) Find the distance (in nanometers) between the sodium ion located at one corner of the cube and the chloride ion located on the diagonal at the opposite comer (b) What is the value of the angle e n the drawing shown? 02RExplanation / Answer
volume = length * breadth * depth
length = 1.7 nautical miles or 1.7 * 6076 feet
breadth = 2.1 nautical miles or 2.1 * 6076 feet
depth = 19 fathoms or 19 * 6 feet
volume = 1.7 * 6076 * 2.1 * 6076 * 19 * 6
volume = 1.50247965 * 10^10 feet^3
1 feet^3 = 0.0283168 m^3
so,
1.50247965 * 10^10 feet^3 = 425454857.56652 m^3
volume of water = 425454857.56652 m^3