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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 ... - Page 80
de Richard Cockrel - 1792 - 99 pages
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A Treatise on Mensuration, Both in Theory and Practice

Charles Hutton - 1788 - 703 pages
...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 - 40 pages
...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 ..., Volume 2

1801 - 426 pages
...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 - 178 pages
...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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ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY

ELIAS LOOMIS, LL.D. - 1859
...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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