Trigonometric Equations Question 150

Question: The angle of elevation of a tower from a point A due south of it is 30o and from a point B due west of it is 45o. If the height of the tower be 100 metres, then AB =

Options:

A) 150 m

B) 200 m

C) 173.2 m

D) 141.4 m

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ OB=100\cot 45^{o} $ $ OA=100\cot 30^{o} $ $ AB=\sqrt{(OA^{2}+OB^{2})} $ $ =200m $ .