Mathematical Exercises ...1867 |
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Results 6-10 of 28
Page 124
... observed at the end of a horizontal base of 100 yards measured from its foot , is 30 ° ; find its height . 11. In a plane triangle c = 732 , b = 846 , a = 945 ; find the greatest angle . 12. Find a from the equation cos -1 1 - x2 -12x + ...
... observed at the end of a horizontal base of 100 yards measured from its foot , is 30 ° ; find its height . 11. In a plane triangle c = 732 , b = 846 , a = 945 ; find the greatest angle . 12. Find a from the equation cos -1 1 - x2 -12x + ...
Page 140
... observed that AS B = 15 ° , B S c = 30 ° . Find the distances of s from A , B , and C ; the point в being nearest to s , and the angle AS C being the sum of A S B and B SC . 10. Prove that cot 3A = . 1-3 tan2 A 3 tan A - tan3 A 11. Show ...
... observed that AS B = 15 ° , B S c = 30 ° . Find the distances of s from A , B , and C ; the point в being nearest to s , and the angle AS C being the sum of A S B and B SC . 10. Prove that cot 3A = . 1-3 tan2 A 3 tan A - tan3 A 11. Show ...
Page 141
... observed both from A and в ; the angle CAB is 52 ° , CBA , 70 ° ; find the width of the river . 11. If 30 cubic inches of powder weigh 1 lb. , show that it will require nearly 9 lbs . to fill a shell whose internal diameter is 8 inches ...
... observed both from A and в ; the angle CAB is 52 ° , CBA , 70 ° ; find the width of the river . 11. If 30 cubic inches of powder weigh 1 lb. , show that it will require nearly 9 lbs . to fill a shell whose internal diameter is 8 inches ...
Page 145
... observed due S. and at an elevation of 36 ° at noon , and its shadow was 1 mile from the place of observation , the sun's altitude being 45 ° ; at 11 A.M. and 1 P.M. the bearings of the balloon were SE . by S. and SW . by W ...
... observed due S. and at an elevation of 36 ° at noon , and its shadow was 1 mile from the place of observation , the sun's altitude being 45 ° ; at 11 A.M. and 1 P.M. the bearings of the balloon were SE . by S. and SW . by W ...
Page 173
... observation in a vertical plane with the object , find the distance of the object from the first place of observation . 7. An observer at A wishes to determine the distance between two inaccessible objects B , C. He measures a base A D ...
... observation in a vertical plane with the object , find the distance of the object from the first place of observation . 7. An observer at A wishes to determine the distance between two inaccessible objects B , C. He measures a base A D ...
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acres angle axis ball base binomial theorem bisected body CALC cent centre of gravity circle coefficient of friction compound interest cube cubic curve determine diameter Divide dwts ellipse equal equilibrium Express Extract the square feet Find the area Find the centre Find the distance Find the equation find the height Find the number Find the value fluid forces acting given horizontal plane inches inclined plane inscribed intersect latus rectum length logarithms lowest terms Multiply parabola parallel particle perpendicular plane triangle pressure Prove pulleys radius rectangular recurring decimal Reduce right-angled sides simple interest Simplify sin² sine smooth Solve the equations square root straight line string surface tangent tons tower TRIG velocity vertex vertical vulgar fractions weight yards
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