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Plane Trigonometry and Applications

Plane Trigonometry and Applications


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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. 1914 Excerpt: ...was found to fall at a point 7.5 feet up its face. What angle does the embankment make with a horizontal plane? Remark. A transit cannot conveniently be used to measure an angle formed by two walls, the angle formed by an embankment or buttress with a horizontal plane, etc. In such cases, as in this example, it is more convenient to measure distances and determine the angles by calculation. 16. Two capes, A and B (Fig. 55), were observed from a ship at sea; one of them bore N.N.E. and the other N.W. It was found from the chart that the second cape bore W. by N. from the first and was 25.3 miles distant from it. What was the distance of the ship from each of the two capes V 17. A battleship leaves port i, ona due easterly course, at the rate of 16 miles per hour. A dispatch boat starts from B at the same moment. The port B bears S.S.W. of port A and is 25 miles distant from it. If the dispatch boat has a rate of 22 miles per hour, what should be the direction of its course so that it may meet the battleship, if neither ship alters its rate or course? At what time will they meet? Hint. In Fig. 56 we have A C = 161, BC = 221, if t denotes the time (in hours) which passes between the time of sailing and the moment of meeting, and if C represents the place of meeting. 18. The angle of elevation of the top of a tower, at a point in the same horizontal plane with its base, is equal to A. At a point h feet directly above the first the angle of depression of the foot of the tower was found to be equal to B. Prove that the height of the tower is equal to A tan A I B-Cot B. 19. A valley has the cross section shown in Fig. 57, the angles L and M and the distance AB = I having been obtained by a survey. It is planned to connect the points A and B by a bridge, supported ...


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Product Details
  • ISBN-13: 9781151784568
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 66
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 1151784567
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 136 gr


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