Mathematical Exercises ...1867 |
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Page 108
... observed to bear N. 30 ° E. , and after two hours its bearing is due N .; find the distance of the ship from the lighthouse at each observation . LXXIV . 1. ( 1 ) Multiply | 1 1 - a1 + 6¬3by12 + 112 + 36-6 4 8 4 ( 2 ) Divide ( b - c ) ...
... observed to bear N. 30 ° E. , and after two hours its bearing is due N .; find the distance of the ship from the lighthouse at each observation . LXXIV . 1. ( 1 ) Multiply | 1 1 - a1 + 6¬3by12 + 112 + 36-6 4 8 4 ( 2 ) Divide ( b - c ) ...
Page 110
... observed to be 22 ° 37 ′ and 58 ° 7 ′ respectively ; find BC , hav- ing given L sin 80 ° 44 ′ = 9-994295 , L sin 58 ° 7 ' = 9 · 928972 , log 4.08 = 610660 , and log 3 · 51 = · 545337 . LXXVI . 1. If a3 - pa2 + qa - r = 0 , then x3 - px2 ...
... observed to be 22 ° 37 ′ and 58 ° 7 ′ respectively ; find BC , hav- ing given L sin 80 ° 44 ′ = 9-994295 , L sin 58 ° 7 ' = 9 · 928972 , log 4.08 = 610660 , and log 3 · 51 = · 545337 . LXXVI . 1. If a3 - pa2 + qa - r = 0 , then x3 - px2 ...
Page 116
... observed to be 5o ; after walking 1 mile directly towards the hill the angle of elevation is 14 ° 30 ′ . Find the height of the hill . 7. Investigate a formula for determining the sine of half an angle of a triangle in terms of the ...
... observed to be 5o ; after walking 1 mile directly towards the hill the angle of elevation is 14 ° 30 ′ . Find the height of the hill . 7. Investigate a formula for determining the sine of half an angle of a triangle in terms of the ...
Page 120
... observed by a ship at sea to bear SE .; after the ship had sailed NE . for 12 miles , the light- house was observed to bear 15 ° E. of S. Find the distance of the lighthouse from each position of the ship . 12. An object 10 ft . high is ...
... observed by a ship at sea to bear SE .; after the ship had sailed NE . for 12 miles , the light- house was observed to bear 15 ° E. of S. Find the distance of the lighthouse from each position of the ship . 12. An object 10 ft . high is ...
Page 123
... observed 22 ° 15 ′ and 44 ° 30 ' : find the height of the column . 9. A lighthouse was observed from a ship to bear N. 45 ° E .; and after the ship had sailed 4 miles SE . , the bearing of the lighthouse was observed to be N. 15 ° E ...
... observed 22 ° 15 ′ and 44 ° 30 ' : find the height of the column . 9. A lighthouse was observed from a ship to bear N. 45 ° E .; and after the ship had sailed 4 miles SE . , the bearing of the lighthouse was observed to be N. 15 ° E ...
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acting amount angle axis base body CALC cent centre of gravity circle coefficient common contained cost cubic curve decimal described determine diameter difference direction distance Divide drawn elevation ellipse equal equilibrium Explain Express Extract the square feet Find the number Find the value fluid force fraction give given greatest horizontal plane hour inches inclined plane interest length logarithms lowest means measure miles moving Multiply observed parallel passing perpendicular places plane position pressure projected Prove radius Reduce remaining respectively rest result right angle sides simple Solve the equations square square root straight line string surface tables tangent tons train triangle TRIG velocity vertical volume weight whole yards
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