2012 · Q58
The angles of elevation of the top of an inaccessible tower from two points on the same straight line from the base of the tower are 30 degrees and 60 degrees respectively. If the points are separated at a distance of 100 m, then the height of the tower is close to:
Elementary MathematicsTrigonometry
- A86.6 m
- B84.6 m
- C82.6 m
- D80.6 m
Explanation
h = d1*tan60 = (d1+100)*tan30 gives d1 = 50 m and h = 50*sqrt(3) = 86.6 m.