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" From a station, B, at the base of a mountain, its summit A is seen at an elevation of 60° ; after walking one mile towards the summit, up a plane making an angle of 30° with the horizon, to another station, C, the angle . .BCA is observed to be 135°... "
The Elements of Plane Trigonometry - 93. lappuse
autors: Henry Nathan Wheeler - 1876
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Calendar

University of Cambridge - 1831 - 552 lapas
...summit A is seen at an elevation of 60° ; after walking one mile towards the summit up a plane making 30° with the horizon, to another station C, the angle...be 135°. Find the height of the mountain in yards. 3. A mortgage is taken on an estate worth N acres of it ; land rises « per cent, in price, and in...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 lapas
...summit A is seen at an elevation of 60° : after walking one mile towards the summit up a plane making 30° with the horizon, to another station C, the angle...be 135°. Find the height of the mountain in yards. 80. An indefinite area is to be divided into similar and equal regular figures. Shew by what figures...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1846 - 500 lapas
...; after walking one mile towards the summit up a plane making art angle of 30° CLANB TRIGONOMRTRY. with the horizon, to another station C, the angle...observed to be 135°. Find the height of the mountain. From the triangle ABC, we have BC. sin BAC ' sin BCA sin (BCA + ABC) BC.sin 135° sin (l35°+ 30°)...
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A collection of problems and examples adapted to the 'Elementary course of ...

Harvey Goodwin (bp. of Carlisle.) - 1847 - 136 lapas
...calculations, necessary for determining the breadth of a river, from stations upon one of its banks. the horizon, to another station C, the angle BCA is...be 135°. Find the height of the mountain in yards. 17- An object 6 feet high, placed on the top of a tower, subtends an angle the tangent of which is...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1849 - 588 lapas
...cosec a cosec ft cos y, a and x ma =• . V cosec2 a + cosec2 ft — 2 cosec a cosec ft cos y Ex. 3. From a station B at the base of a mountain, its summit...with the horizon, to another station C, the angle EC A is observed to be 135°. Find the height of the mountain. From the triangle ABC, we have sin BCA...
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Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ...

John William Colenso (bp. of Natal.) - 1851 - 382 lapas
...225. From a station B, at the base of a mountain, its summit Л is seen at an elevation of 60°; and, after walking one mile towards the summit, up a plane...station C, the angle BCA is observed to be 135°. Find, in feet, the height of the mountain above the horizontal plane at B. 226. If seca Kfc.O 4 tana b>i>(>...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 lapas
...station B, at the base of a mountain, its summit A is seen at an elevation of 60°; after walking l mile towards the summit, up a plane making an angle...with the horizon, to another station C, the angle EGA is observed to be 135°. Find the height of the mountain in yards. 17. An object 6 feet high, placed...
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Plane Trigonometry ...

Isaac Todhunter - 1860 - 318 lapas
...,, 7 A sin .B cos (7 therefore k = r— .. sin .4 thus the ratio of k to h is found. EXAMPLES. 1 . From a station B at the base of a mountain its summit...be 135°. Find the height of the mountain in yards. 2. The altitude of a tower is observed to be 30° at. the end of a horizontal base of 100 yards measured...
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Problems and Examples

Harvey Goodwin - 1862 - 174 lapas
...station B, at the base of a mountain, its summit A is seen at an elevation of 60°; after walking 1 mile towards the summit, up a plane making an angle...be 135°. Find the height of the mountain in yards. 17. An object 6 feet high, placed on the top of a tower, subtends an angle the tangent of which is...
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Plane Trigonometry for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - 1864 - 298 lapas
..... . , h sin -B cos C therefore k = : — . , sin A thus the ratio of k to h is found. EXAMPLES. 1 . From a, station B at the base of a mountain its summit...30° with the horizon to another station C, the angle BOA is observed to be 135°. Find the height of the mountain in yards. 2. The altitude of a tower is...
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