The earth as sphere questions | form three Basic Mathematics

Find The earth as sphere examination questions, form three Basic Mathematics in acaproso.com

#	Question
1	Find the distance in kilometers between Lushoto (4°47’S,38°20’E) and Mkata (5°45’S,38°20’E). Mathematical Calculation
2	Two places P and Q both on the parallel of latitude 26°N differ in longitude by 40° . Find the distance between them along their parallel of latitude. Mathematical Calculation
3	Calculate the distance from Chagwe ( $5^{circ}S,39^{circ}E$ ) to Minga ( $12^{circ}S,39^{circ}E$ ) in kilometres. Use $pi =3.14$ , the radius of the earth R = 6370 km and write the answer correct to 1 decimal place. Mathematical Calculation
4	Calculate the distance from Chagwe ( $5^{circ}S,39^{circ}E$ ) to Minga ( $12^{circ}S,39^{circ}E$ ) in kilometres. Use $pi =3.14$ , the radius of the earth R = 6370 km and write the answer correct to 1 decimal place. If a bus leaves Chagwe at 8:00 am on Monday and travels at 40 km/hour, at what time will it reach Minga? Mathematical Calculation
5	Find the distance along the circle of latitude between $A(13^{circ}25`,43^{circ}S)$ and $B(28^{circ}15`,43^{circ}S)$ . (Use the radius of the earth R=6400km). Mathematical Calculation
6	A sphere of radius 5cm is melted down and made into a solid cube. Find the length of a side of the cube given that the volume (V) and surface area (A) of the sphere are given by $V=frac{4}{3} pi r^{3}$ and $A=4pi r^{2}$ . Mathematical Calculation
7	Two towns , A and B, are located at (10°S,38°E) and (10°S,43°E) respectively. Find the distance between the two towns in kilometres. (Use radius of the Earth, R=6400km and $pi=3.14$ ). Give the answer to the nearest whole number. Suppose a ship is sailing at 50km/h from town A to town B. Using the answer obtained in part(a)(i), find how long will the ship take to reach town B. Mathematical Calculation
8	Two places P and Q both on the parallel of latitude 26°N differ in longitude by 40°. Find the distance between them along their parallel of latitude. Mathematical Calculation
9	A ship sails from Pemba (4.5°S, 39.5°E) to Dar es Salaam(7.5°S, 39.5°E). If it leaves Pemba at 11:30 am and arrived in Dar es salaam as 13:30pm, use $pi =22/7$ and $R_{varepsilon }=6370km$ to find the speed of the ship in km/h. Mathematical Calculation
10	Kicheko and Mtakuja are two villages on latitude 60°S. The distance between Kicheko and Mtakuja measured along the parallel of latitude is 1111km. Find the difference between their longitudes in two significant figures. Mathematical Calculation