Calendar: 1870-1871 Page 518

518 general literature and science distance BD to be he then walks along the road to point Ε such that EC is at right angles to AE Prove that if AE AC 'iP 13 Given two sides of triangle and the included angle find the third side If the two sides are nearly equal show that the tan- gent of the difference of the base angles is nearly equal to cot זי 14 is the foot of vertical pole Β and are due east of and due south of The elevation of the pole at Β is double that at and the angle subtended by Β at is tan-1 BC 20 feet CB 30 feet Find the height of the pole 15 Sum the series cos -f- cos -f- β -f- cos -f- -f- to η terms and show that the sum of the series 1' cos -j- 22 cos 2a 3a cos to terms cos '4 י sin Divisions IL III Second Year -Division II First Year -Crigononutrg Reduce 34 68' 27" into degrees The angles of triangle are in the ratio Find them person observes the angular elevation of column after appoacbing feet he finds its elevation doubled again approaching feet it is again doubled Show that the second point of observation is feet from the foot of the tower Find the values of the trigonometrical ratios for an angle of 3300