1

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.

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2

 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 at 13:30 pm, use and RE=6370km to find speed of ship in km/h 

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3

Calculate the distance from Chagwe (5°S, 39°E) to Minga (12°S, 39°E) in kilometres. Use pi = 3.14, the radius of the earth R = 6370km and write the answer correct to 1 decimal place.

(b) If a bus leaves Chagwe at 8:00 am on Monday and travels at 40 km/hour, at what time will it reach Minga?

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4

The two towns P and Q lie on the earth's surface such that P(650N, 960E) and Q(650N, 840W). Find the distance between the towns in kilometers and nautical miles.

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5

A ship sails from point A(100 S, 300 W) to point B(110 N, 300 W) at a speed of 900 km/h. If it leaves point A at 10:00 am, when will it arrive at B? (Radius of the Earth (R) = 6400 km).

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6

(a)An aero plane fires from Tabora (5°S, 33°E) to Tanga (5°S, 39°E) at 332 km/her. Along parallel latitudes. If it leaves Tabora at 3 p.m., find the time of arrival at Tanga air-port

(b)Another plane flying at 595 km/hr leaves Dsm (7°S,39°E) at 8:00a.m it Addis Ababa (9°N, 39°E) (parallel longitude)

(Radius of the earth R 6370km)

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7

Two places P and Q both on the parallel of latitude N differ in longitudes

by  find the distance between them along their parallel of latitude.

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8

A ship sails from point A (400S, 300W) due west along the same latitude to point B for 1000km. Find the latitude and longitude of point B. Use R=6370km and π = 3.14(give your answer in nearest degree).

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9

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.

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10

Calculate the circumference of a small circle, in kilometres, along the parallel of latitude 30°N (Leave your answer in surd form).

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11

Find the distance (in km) between towns P(12.4°S, 30.5°E) and Q(12.4°S, 39.8°E) along a line of latitude, correctly to 4 decimal places.

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12

Two towns, A and B, are located at (100S, 380E)  and  (100S, 430 E) respectively.

(i)Find the distance between the two towns in kilometers. (Use radius of the Earth, R = 6400 km and      image   .Give the answer to the nearest whole number.

(ii)Suppose a ship is sailing at 50 km/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.

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13

A bus leaves town A (3°S, 39°E) at a constant speed of 40km/h. How many hours will the bus take to reach town B (12°S, 39°E)? Use ?=3.14 and radius of the Earth, R= 6,400km.

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14

A bus leaves town A (3°S, 39°E) at a constant speed of 40km/h. How many hours will the bus take to reach town B (12°S, 39°E)? Use ?=3.14 and radius of the Earth, R= 6,400km.

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