. 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]. subtract ZDBC 17 15ZD 33 45DC 100 CB 9*47208569*74473902 0000000 22726534 ZBEC 130°ZBCE 11CB BE 4666574 9*88425409*28059882-2726534 1*6689982 PROBLEM VIII. Ta find the height of a cloud. EXAMPLE. What is the perpendicular height of a cloud, whose an-gles of elevation are 35° and 64°, taken by two observersat the same time, both on the same side of the cloud, and at HEIGHTS AND DISTANCES. 107 the distance of 880 yards from
. 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]. subtract ZDBC 17 15ZD 33 45DC 100 CB 9*47208569*74473902 0000000 22726534 ZBEC 130°ZBCE 11CB BE 4666574 9*88425409*28059882-2726534 1*6689982 PROBLEM VIII. Ta find the height of a cloud. EXAMPLE. What is the perpendicular height of a cloud, whose an-gles of elevation are 35° and 64°, taken by two observersat the same time, both on the same side of the cloud, and at HEIGHTS AND DISTANCES. 107 the distance of 880 yards from one another, so placed thata vertical plane would pass through both their stations andthe cloud; and what is its distance from the two places ofobservation ? ZDZB 90°64 90°ZD 35 ZA ZBCD 26 55ZACD26ZBCD 29ZACB ZACB 29°ZA 35AB880 BC 1041*125 ,9*68557129*758591329444827 3-0175028 ZACB 29°ZABC 116AB 880 9-68557129*95366022-9444827 AC 1631*442 3-2125717 108 MATHEMATICS. ZT> 90° 10-0000000 ZB 64 9-9536602 BC 3-0175028 DC 935757 2-9711630 Note. In finding the distances of inaccessible objects,if they be of such a height as to admit of a pretty largeangle of elevation, their distance may be found as in someof the foregoing examples. If not, the theodolite, orsome other graduated instrument, is used to take the anglesof the distance, or the horizontal angles of objects, as insome examples, that follow. PROBLEM IX. To find the distance of two accessible objects from eachother, when one of them is inaccessible from the other inthe direction of a right line, EXAMPLE, Suppose I wanted to know the distance of the tweplaces A, B, to whose ends there is free access, but notto the intermediate parts, because of a hill, precipice, orwater, between A
Size: 1757px × 1422px
Photo credit: © Reading Room 2020 / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1800, bookdecade1800, bookidmathematicsc, bookyear1808
