A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 20
... feet Given BC = 112 feet = 11 ( < A = 57 ° 27 ' < B = { 64 ° 34 ′ 21 ′′ 2115 25 39 Required the other par . Anf . < C C = { { 57 58 39 7 07 21 5112652 feet AB = Σ 16.475 PRO- PROBLEM II . Given two fides and the angle included 20 Part I ...
... feet Given BC = 112 feet = 11 ( < A = 57 ° 27 ' < B = { 64 ° 34 ′ 21 ′′ 2115 25 39 Required the other par . Anf . < C C = { { 57 58 39 7 07 21 5112652 feet AB = Σ 16.475 PRO- PROBLEM II . Given two fides and the angle included 20 Part I ...
Page 35
... feet from the bottom of a tower , in a direct line on a horizontal plane , I then took the angle CDE of elevation of the top equal 47 ° 30 ' , the center of the quadrant being fixed five feet above the ground ; required the height of ...
... feet from the bottom of a tower , in a direct line on a horizontal plane , I then took the angle CDE of elevation of the top equal 47 ° 30 ' , the center of the quadrant being fixed five feet above the ground ; required the height of ...
Page 36
... feet the height of the inftrument ) being added , gives AC equal to 114 ° 13 , the whole height . Note . If you go off to fuch a distance from the bottom , as that the angle of elevation fhall be 45 ° , then will the height be equal to ...
... feet the height of the inftrument ) being added , gives AC equal to 114 ° 13 , the whole height . Note . If you go off to fuch a distance from the bottom , as that the angle of elevation fhall be 45 ° , then will the height be equal to ...
Page 37
... feet = AC the distance required . EXAMPLE IV . What is the perpendicular height of a hill whofe angle of elevation taken at the bottom of it was 46 ° , and 100 yards farther off , on a level with the bottom of it , the angle was 31 ...
... feet = AC the distance required . EXAMPLE IV . What is the perpendicular height of a hill whofe angle of elevation taken at the bottom of it was 46 ° , and 100 yards farther off , on a level with the bottom of it , the angle was 31 ...
Page 38
... feet - BD the distance of the farther tree . Therefore , DB - BC = 251'585232-77.928912 = 173.65632 feet = CD the distance between the two trees . EXAMPLE VI . An obelisk standing on the top of a declivity , I measured from its bottom a ...
... feet - BD the distance of the farther tree . Therefore , DB - BC = 251'585232-77.928912 = 173.65632 feet = CD the distance between the two trees . EXAMPLE VI . An obelisk standing on the top of a declivity , I measured from its bottom a ...
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