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" PROBLEM III. To find the height of an INACCESSIBLE OBJECT above a HORIZONTAL PLANE. 11. TAKE TWO STATIONS IN A VERTICAL PLANE PASSING THROUGH THE TOP OF THE OBJECT, MEASURE THE DISTANCE FROM ONE STATION TO THE OTHER, AND THE ANGLE OF ELEVATION AT EACH.... "
An Elementary Treatise on Plane and Spherical Trigonometry: With Their ... - Page 109
by Benjamin Peirce - 1861 - 359 pages
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 138 pages
...apply it to the same scale from which A B was taken, and it will be found to be 121 feet. 177. — To find the height of an inaccessible object above a horizontal plane — . The angle of elevation of the top of a tree standing on the other side of a river— 60° ; and...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1831 - 166 pages
...compasses and apply it to the same scale from which AB was taken, and it will be found to be 121 feet. 177. PROBLEM. — To find the height of an inaccessible object above a horizontal plane. The angle of elevation of the top of a tree standing on the other side of a river=60° ; and 100 feet...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1831 - 394 pages
...made parallel to BC, the triangle bAc will be similar to BAC; so that A6 :6c::AB : BC. PROBLEM III. TO FIND THE HEIGHT OF AN INACCESSIBLE OBJECT ABOVE A HORIZONTAL PLANE. 11. TAKE TWO STATIONS IN A VERTICAL PLANE PASSING THROUGH THE TOP OF THE OBJECT, MEASURE THE- DISTANCE...
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An Elementary Treatise on Plane Trigonometry: With Its Applications to ...

Benjamin Peirce - Plane trigonometry - 1835 - 110 pages
...feet and the angle of depression HAC = 17° 25', to find the distance BC. Ans. J3C==478.16feet. 69. Problem. To find the height of an inaccessible object above a horizontal plane and its distance from the observer. Solution. Let B (fig. 3.) be Fig. 3. the object, and C the place...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...parallel to BC, the triangle 6 Ac will be similar to BAC ; so that Ab : be : : AB : BC. PROBLEM III. To find the height of an INACCESSIBLE OBJECT above a HORIZONTAL PLANE. 11. TAKE TWO STATIONS IN A VERTICAL PLANE PASSING THROUGH THE TOP OF THE OBJECT, MEASURE THE DISTANCE...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1839 - 434 pages
...parallel to BC, the triangle bAc will be similar to BAC ; so that Ab : be : : AB : BC. PROBLEM III. To find the height of an INACCESSIBLE OBJECT above a HORIZONTAL PLANE. 11. TAKE TWO STATIONS IN A VERTICAL PLANE PASSING THROUGH THE TOP OF THE OBJECT, MEASURE THE DISTANCE...
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...НАС. Calculation. Since ACB= НАС, we know in the triangle ACB the leg AB and the opposite angle C, as in § 33 of PI. Trig. EXAMPLE. Given the height...of an inaccessible object above a horizontal plane, and its distance from the observer. [B. p. 96.] Distance of two objects. bearing from each other are...
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1848 - 354 pages
...parallel to BC, the triangle bAc will be similar to BAC ; so that A6 : 6c : : AB : BO. PROBLEM III. TO FIND THE HEIGHT OF AN INACCESSIBLE OBJECT ABOVE A HORIZONTAL PLANE. 11. TAKE TWO STATIONS IN A VERTICAL FLANE PASSING THROUGH THE TOP OF THE OBJECT, MEASURE THE DISTANCE...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851 - 418 pages
...parallel to BC, the triangle 6Ac will be similar to BAC ; so that Ab : be : : AB : BC. PROBLEM III. To find the height of an INACCESSIBLE OBJECT above a HORIZONTAL PLANE. 11. TAKE TWO STATIONS IN A VERTICAL PLANE PASSING THROUGH THE TOP OF THE OBJECT, MEASURE THE DISTANCE...
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The Elements of Plane and Spherical Trigonometry

John Hind - Trigonometry - 1855 - 546 pages
...HEIGHTS AND DISTANCES. to the horizontal distance of the place of observation from the foot of it. Ex. 2. To find the height of an inaccessible object above a horizontal plane. Let the point С denote the place of the object : draw CD perpendicular to the horizontal line BD :...
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