. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. As radius 90° : tangent of 62° 40f : : BA 18 : BC 34*8246 feet 10*0000000 10*2866141 1*2552725 1*5418866 r 96 MATHEMATICS. As radius 90°: secant of 62° 40: : 13A 18 : AC 39-2014 feet lOOOOOOOO 10*3380298 1*2552725 15933023 Ans. The height BC = 3482 feet, and the length of theladder AC = 392 feet. PROBLEM III. From a knoxvn height to find the distance of an inaccessible object on a level. EXAMPLES. 1. From the top of a shi
. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. As radius 90° : tangent of 62° 40f : : BA 18 : BC 34*8246 feet 10*0000000 10*2866141 1*2552725 1*5418866 r 96 MATHEMATICS. As radius 90°: secant of 62° 40: : 13A 18 : AC 39-2014 feet lOOOOOOOO 10*3380298 1*2552725 15933023 Ans. The height BC = 3482 feet, and the length of theladder AC = 392 feet. PROBLEM III. From a knoxvn height to find the distance of an inaccessible object on a level. EXAMPLES. 1. From the top of a ships mast, which was 80 feetabove the water, the angle of depression of another shipshull, at a distance upon the water, is 20° ; what is theirdistance ?. As radius 90°: tangent of 70°: : AB 80 feet ,c 219*798 feet lOOOOOOOO 10*4389341 19030900 2*3420241 HEIGHTS AND DISTANCES. 97 2. From the top of a tower, whose height was 120feet, I took the angle of depression 6i* two trees, which layin a direct line upon the same horizontal plane, with thebottom of the tower, viz. that of the nearer 57°, and thatof the farther 25°-| ; A\hat is the distance of each fromthe bottom of the tower, and their distance from eachother ?
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