The angle of elevation of the top of a tower 25√3 m high from two points on the level ground on its opposite sides are 45º and 60º. What is the distance between the two points?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 68.3
In ABC ,
Tan = AC/BC
Tan45 = 25√3/BC
BC = 25√3.
In ACD ,
Tan60° = AC/CD
√3 = 25√3/CD
CD = 25.
BD + CD = 25 + 25√3 = 68.3.