Books Books Prob. 12. How must three trees, A, B, C, be planted, so that the angle at A may be double the angle at B, the angle at B double the angle at C, and a line of 400 yards may just go round them ? Ans. A Course of Mathematics: In Three Volumes : Composed for the Use of the ... - Page 74
by Charles Hutton - 1811 ## A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1806 - 464 pages
...what are their respective bearings from each other? Ans. 2. A 95° 44'i, Z c 33° 33'}, ^ B 50° 42'^. 14. How must three trees, A, B, c, be planted, so that the angle at A may be double that at B, and the angle at B double that at c ; and that a line of 100 yards may go just round them... ## A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volume 2

Charles Hutton - 1816 - 618 pages
...cosine of half the sum of the angles at the base, to the cosine of half their difference. Ex. JLx. 14. How must three trees, A, B, c, be planted, so that the angle at A may he double the angle at B, the angle at B double thai at c 5 and so that a line of 400 yards may just... ## A Course of Mathematics for the Use of Academies: As Well as ..., Volume 2

Charles Hutton - 1826 - 682 pages
...angles at the base, to the cosine of half their difference. Ex. 14. How must three trees, A, B, c,be planted, so that the angle at A may be double the angle at u, the angle at B double that at c ; and so that a line of 400 yards may just go round them ? Ex. 15.... ## A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - 1831 - 656 pages
...difference of the other two sides, as the sine of half the sum of the angles at the hasp., to tlio aino of half their difference : also, that the base is...so that a line of 400 yards may just go round them 1 Ex. 15. In a certain triangle, the sines of the three angles are as the numbers 17, 15, and 8, and... ## Elements of Plane Trigonometry

William Smyth - 1834 - 102 pages
...zontal plane is observed, to find that point in the plane,which is equidistant from the top of each. 7. How must three trees A, B, C, be planted, so that the angle at A may be double the angle at B, and the angle at B double the angle at C and a line of 400 yards may just go round them? 8. The distances... ## Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...the cosine of half the sum of the angles at the base, to the cosine of half their difference. Ex. 10. How must three trees, A, B, C, be planted, so that the angle at A may double the angle at B, the angle at B double that at C ; and so that a line of 400 yards may just go... ## A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - 1845 - 542 pages
...the cosine of half the sum of the angles at the base, to the cosine of half their difference. Ex. 10. How must three trees, A, B, C, be planted, so that the angle at A may double the angle at B, the angle at B double that at C ; and so that a line of 400 yards may just go... ## Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - 1845 - 506 pages
...the cosine of half the sum of the angles at the base, to the cosine of half their difference. Ex. 10. How must three trees, A, B, C, be planted, so that the angle at A may double the angle at B, the angle at B double that at C ; and so that a line of 400 yards may just go... ## Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ...

Elias Loomis - 1859 - 372 pages
...the whole May-pole, supposing the length of the broken piece to be 39 feet ? Ans. 75 feet. Prob. 12. How must three trees, A, B, C, be planted, so that...may be double the angle at B, the angle at B double the angle at C, and a line of 400 yards may just go round them ? Ans. AB = 79.225, AC = 142.758, and... 