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 $ .