. 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]. HEIGHTS AND DISTANCES. 103 Here *2°—27°=15°=Z\DC. And 27°—19°=80=ZADB,Also 90°+19°=109°=ZB. ZCAD 27°ZCDA 15 CD 132 CA 75*25 ZCAD 27°ZC 138 or 42CD 132 AD 965704689*41299622*1205739 1*8765233 9*65704689*82551092*1205739 2*2890380 ZB 109°ZADB 8AD 9*97567019*14355532*2890386 AB 28*63 1*4569232 iO-t MATHEMATICS. 2. From a window near the bottom of a house, whichseemed to be upon a level with the bottom of a steeple, Itook the
. 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]. HEIGHTS AND DISTANCES. 103 Here *2°—27°=15°=Z\DC. And 27°—19°=80=ZADB,Also 90°+19°=109°=ZB. ZCAD 27°ZCDA 15 CD 132 CA 75*25 ZCAD 27°ZC 138 or 42CD 132 AD 965704689*41299622*1205739 1*8765233 9*65704689*82551092*1205739 2*2890380 ZB 109°ZADB 8AD 9*97567019*14355532*2890386 AB 28*63 1*4569232 iO-t MATHEMATICS. 2. From a window near the bottom of a house, whichseemed to be upon a level with the bottom of a steeple, Itook the angle of elevation of the top of the steeple equalto 40°, and from another window 18 feet directly above theformer, the same angle was 37° 30» what then is the heightand distance of the steeple ?. From ZC 40c 00 Sub. ZD 37 30 Rem. ZCBD 2 30 ZDBC 2° 30ZCDB 12 1 or 52£DC 18 feet CB 8*6396796989946671*2552725 25150596 HEIGHTS AND DISTANCES. 105 ZA 90° 10-0000000 ZACB 40 9*8080675 CB 25150596 AB 210*44 feet 2*3231271 ZA 90° 10*0000000 ZCBA 50 9*8842540 CB 2*5150596 CA 250*79 2*3993136 PROBLEM VII. To find the height of an object on an inaccessible elevation EXAMPLE. Being upon a horizontal plane, and wanting to knowriie height of an object on the top of an inaccessible hill ;I took the angle of elevation of the top of the hill equal40°, and of the top of the object equal 51°; then, goingin a direct line from it to the distance of 100 yards further, I found the angle of the top of the object to be >n45: what is the objects height 3n° Vol. II. O 106 MATHEMATICS.
Size: 1680px × 1488px
Photo credit: © Reading Room 2020 / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1800, bookdecade1800, bookidmathematicsc, bookyear1808
