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" What is the perpendicular height of a hill whose 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° ? Ans., 143.14 yards. "
An introduction to plain trigonometry, with its application to heights and ... - Seite 68
von Richard Cockrel - 1792 - 99 Seiten
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A Treatise on Mensuration, Both in Theory and Practice

Charles Hutton - 1788 - 728 Seiten
...2-7474774 (tan. 70°) : : 80 : 2'7473774'X So = 219-790192 feet := AC the diftance required. EXAMPLE IV. What is the perpendicular height of a hill whofe angle...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*; Ac 46° "1 ,- , B ZB 3I...
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Mathematical Tables: Containing the Logarithms of Numbers; Logarithmic Sines ...

John Brown (Mathematician) - 1789 - 146 Seiten
...PROPOSlTlON Xlv!. PROB. To meafure an inaccejjtble height and dißance by the geometrical quadrant. Ex. 1. What is the perpendicular height. of a hill whofe angle of elevation near the bottom is .33o 201 and 125 yards farther off 28o 301, and what the diftance of the perpendicular...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Band 2

1801 - 658 Seiten
...inaccessible. t . EXAMPLES. . ,... „• . .. r. What is the perpendicular height of a htH, ..„ angle of elevation, taken at the bottom of it, was 46" , and 100 yards further off, on a level with the bottom of it, the angle was 31°? ,. BC Subtract 9-4129962...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - 1855 - 192 Seiten
...the hypothenuse and the angles to find DC. Ex. 1. What is the perpendicular height of a hill whose 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° ? Ans., 143.14 yards. Ex....
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Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ...

Elias Loomis - 1859 - 372 Seiten
...the hypothenuse and the angles to find DC. Ex. 1. "What is the perpendicular height of a hill whose 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° ? Ans., 143.14 yards. Ex....
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