Calendar: 1884-1885 Page 693

CLOTHWORKERS SCIENCE EXHIBITION 687 י One railway train passes station minutes before another Supposing they travel at the rates of 15 and 20 miles per hour find at what distance from the station one will overtake the other vessel makes two runs on measured mile one with tide in minutes and the other against tide in minutes Find the speed of the vessel through the water and of the tide supposing both to be uniform Find the sum of η terms of geometrical progression having given the first term and the common ratio Find also the sum of the products of every pair of different terms Find the number of grades in an arc which is equal in length to the radius of the circle 10 If an angle lies between 135 and 180 what is the algebraic sign of cos sin If an angle have negative secant and negative cosecant show that it lies between 180 and 270 11 In plane triangle show that the sines of the angles are as the sides opposite to them Given in right-angled triangle one of the acute angles 60 and the side opposite to it 10 feet find remaining parts 12 At point measure the elevation of tower whose foot is and find it 45 go further back in the line CA and arriving at 60 feet from find the angle of eleva- tion is now 30 Find the height III PUdjanto body is projected with velocity of 50 feet per second up plane 20 feet high which is inclined at an angle of 45 to the horizon On reaching the highest point the body goes over the top of the plane find how high it will rise above the top of the plane and the time it will take to do it State the Third Law of Motion and explain its application to the case of body sliding down an inclined plane under the action of the force of gravity