A pole seen from a certain distance at an angle of 30 degrees and 100 meters ahead by 45 degrees. What is the height of pole? (A) 57.73 m. (B) 84.62 m. (C) 102.46 m. (D) 136.61 m.

• Answer is Option (D)--136.61 m
  
  If the height of the pole is b and the distance between the person seeing the pole @ 45 degrees and the pole is a,
  tan45 = b/a => 1= b/a
  => a=b
  Then, Tan30 = b/(100+a)
  => 1/(3)^1/2 = a/(100+a) ; since a=b
  a = 100/(3^1/2 - 1) = 100/0.732 = 136.61 m (Option D)
• 6 years agoHelpfull: Yes(3) No(1)