Posted by kavita on Sunday, June 19, 2011 at 4:05am.
In the given diagram,AB represents a vertical pole and CD represents a 40 m high tower both of which are standing on the same horizontal plane.From the top of the tower,the angles of depression of the top and the foot of the pole are 24 degrees,30 inches and 48 degrees,30 inches respectively.calculate
(i) the horizontal distance between the pole and the tower
(ii) the height of the pole

math  Reiny, Sunday, June 19, 2011 at 9:03am
Tough to figure out from the "nongiven" diagram.
let DB, the horizontal distance be x.
angle ADB = 48 degrees, 30 minutes (not inches!)
= 48.5°
so tan 48.5 = 40/x
x = 40/tan48.5 = 35.39 m
from C, draw a horizontal to meet AB at E
tan 24.5 = AE/x
AE = xtan24.5 = 16.13 m
so height of pole = BE = 4016.128 = 23.87 m
Answer This Question
Related Questions
 maths  Q vertical pole and a tower are on the same level Ground.from the top of...
 plane and trigonometry  a 30 foot flagstaff is fixed in the center of a ...
 Trigonometry  A 30foot flagstaff is fixed in the center of a circular tower 40 ...
 maths  from a top of a vertical tower the angles of depression of two cars in ...
 math trig  A TOWER AND A MONUMENT STAND ON A LEVEL PLANE.THE ANGLES OF ...
 trig  On an inclined road, which makes an angle of 25 degrees with the ...
 MATH TRIGOPLSSS ANSWER CLEARLY COZ IM VERY LOW IN  A TOWER AND A MONUMENT ...
 Math trig  Two towers 50 meters apart from the top of the shorter tower to the ...
 trgonometry  a tower and a monumement stand on a level plane. The angles of ...
 math  from the top of a cliff 50 m high the angle of depression of the top and ...
More Related Questions