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" Ans. 22| rods. We may find the distance between two objects which are in the same vertical plane with the perpendicular, by calculating the distance of each from the perpendicular. Thus, AG (Fig. 2.) is equal to the difference between AB and GB. PROBLEM... "
Elements of Plane Trigonometry, Surveying and Navigation - Page 54
by William Smyth - 1855 - 223 pages
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824 - 440 pages
...from the perpendicular. Thus AG (Fig. 2.) is equal to the difference between AB and GB. PROBLEM. IF. To FIND THE HEIGHT OF AN ACCESSIBLE OBJECT STANDING ON AN INCLINED PLANE. 9. Ml-ASUEE THE DISTANCE FROM THE OBJECT TO A CONVENIENT STATION, AND TAKE THE ANGLES WHICH THIS BASE...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 156 pages
...add 5, the height of the instrument, and we have 223 for the height of the steeple. 176. PROBLEM. — To find the height of an accessible object standing on an inclined plane. A tree standing on the declivity of a hill makes with the downward slope an angle=115°; and, at the...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1831 - 394 pages
...perpendicular. Thus AG (Eig.- 2.) is equal to the difference between AB and GB. ' *. • PROBLEM II. TO FIND 'THE HEIGHT OF AN ACCESSIBLE OBJECT STANDING . ' • , ON AN INCLINED PLANE. 9. MEASURE THE DISTANCE FROM THE OBJECT TO A CONVENIENT STATION, AND TAKa THE ANGLES WHICH THIS BASE...
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Elements of Plane Trigonometry

William Smyth - Plane trigonometry - 1834 - 94 pages
...60q and the base line 100 feet ; required the height of the object. Ans. 162.75 feet. PROBLEM IV. 76. To find the height of an accessible object standing...the angle CDA, then in the triangle CDB we have sin DCS : DB : : sin CDB : BC BC being thus determined, we have in the triangle CBA BC + BA:BC— BA: :tang£...
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Elements of Plane Trigonometry

William Smyth - Plane trigonometry - 1834 - 104 pages
...60". and the base line 100 feet; required the height of the object. Ans. 162.75 feet. PROBLEM IV. 76. To find the height of an accessible object standing...CBA, and at D the angle CDA, then in the triangle CDS we have sin DCB : DB : : sin CDB : BC BO being thus determined, we have in the triangle CBA BC...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...from the perpendicular. Thus, AG (Fig. 2.) is equal to the difference between AB and GB. PROBLEM II. To find the HEIGHT of an accessible object standing' on an INCLINED PLANE. 9. MEASURE THE DISTANCE FROM THE OBJECT TO A CONVENIENT STATION, AND TAKE THE ANGLES WHICH THIS BASE...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1839 - 434 pages
...from the perpendicular. Thus, AG (Fig. 2.) is equal to the difference between AB and GB. PROBLEM II. To find the HEIGHT of an accessible object standing on an INCLINED PLANE. 9. MEASURE THE DISTANCE FROM THE OBJECT TO A CONVENIENT STATION, AND TAKE THE ANGLES WHICH THIS BASE...
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1848 - 354 pages
...distance of each from the perpendicular. Thus AG is equal to the difference between AB and GB. PROBLEM II. TO FIND THE HEIGHT OF AN ACCESSIBLE OBJECT STANDING ON AN INCLINED PLANE. 9. MEASURE THE DISTANCE FROM THE OBJECT TO A CONVENIENT STATION, AND TAKE THE ANGLES WHICH THIS BASE...
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Elements of Plane Trigonometry: With Its Application to Mensuration of ...

William Smyth - Plane trigonometry - 1852 - 198 pages
...the height of the object. Ans. 102.51 yards. Ex. 2. Let the angles of elevation be 40Q and 60° and and the base line 100 feet ; required the height of...being thus determined, we have in the triangle CBA BC+BA : BC — BA : : tang | (A + C) : tang 1 (A — C) having found by means of this proportion one...
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