This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1887 Excerpt: ...= 9-2502822. (16) A base line AB, 1000 feet long is measured along the straight bank of a river; C is an object on the opposite bank; the angles BAC, and CBA are observed to be 65 37' and 53 4' respectively. Prove that the perpendicular breadth of the river at C is 829-87 feet; having given L sin 65 37'= 9-9594248, L ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1887 Excerpt: ...= 9-2502822. (16) A base line AB, 1000 feet long is measured along the straight bank of a river; C is an object on the opposite bank; the angles BAC, and CBA are observed to be 65 37' and 53 4' respectively. Prove that the perpendicular breadth of the river at C is 829-87 feet; having given L sin 65 37'= 9-9594248, L sin 53 4' = 9-9027289 L cosec 61 19' = 10-0568589, log 8-2987 =-91901. MISCELLANEOUS EXAMPLES. LXXII. (1) A man, walking along a straight.road at the rate of three-f miles an hour sees, in front of him at an elevation of 60, a balloon which is travelling horizontally;in the same direction at the rate of six miles an hour; ten minutes after he observes that the elevation is 30. Prove that the height of the balloon above the road is 440/3 yards. (2) A person standing at a point A, due south of a tower built t' on a horizontal plain, observes the altitude of the tower to be 60. He then walks to a point B due west from A and observes the altitude to be 45, and then at the point C in AB produced he observes the altitude to be 30. Prove that AB--BC. (3) The angle of elevation of a balloon, which is ascending uniformly, and vertically, when it is one mile high is observed to '! be 35 20'; 20 minutes later the elevation is observed to be 55 40'. How fast is the balloon moving? Ans. 3 (sin 20 20') (sec 55 40') (cosec 35 20') miles per hour. (4) The angular elevation of a tower at a place A due south of it is 30; and at a place B due west of A, and at a distance a from it, the elevation is 18; show that the height of the tower is V2(l + V5) (5) The angular elevation of the top of a steeple at a place due south of it is 45, and at another place due west of the former station and distant a feet from it the elevation is 15; show that the height of the steepl...
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Add this copy of A Treatise on Elementary Trigonometry and Higher to cart. $52.53, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2012 by Nabu Press.