Solutions of the Examples in Hall And Knights Elementary Trigonometry

Cover Solutions of the Examples in Hall And Knights Elementary Trigonometry
Solutions of the Examples in Hall And Knights Elementary Trigonometry
H S Henry Sinclair Hall
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XXI. B. Page 271.
1. Let the distance be . T miles; then by the rule on page 269, we have . : . R = 12; that is, the distance is 12 miles.
2. Let a feet be the height of lighthouse above the sea level ; then 152 = -^, or a = 150; that is, the height of lighthouse = 150 feet.
3. Let the distances in miles of the horizon visible from the masts of the ships be x^, x.^; then ' x, 2=— |'^-^ = 49; . -. X, =7, . -. The greatest distance at which one mast can be seen from the other = x^ f . F . _, = 15
... miles.
, t' I XXI. ] DISTANCE AND DIP OF THE HORIZON. 189 4. Let the distances in miles of the horizon seen from the two masts be X, 1/ respectively, then -^ '^' "^ ' •■■ ^ = ^' also x + ij = 20; whence ij = 11.
Height of mast of second ship=: -|- feet = fZr feet = 80ft. Sin. O 5. Let . T, y be the distances in miles of the horizon visible from the mast and the lamp respectively ; , 3x73i 21 then x^= — 2~^ ■' •'• ^~~2' 35 and x + y = 2S; whence ?/ = y .
2?/2 352 1225 „^ . -. Height of lamp =-^ = -77-= ^ it- = 204 ft.


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