Level:
Project ID:
9000036110
Accepted:
1
Clonable:
0
Easy:
0
A tower is observed from two different places \(A\) and \(B\). The direct distance between \(A\) and \(B\) is \(65\, \mathrm{m}\). If we denote the bottom of the tower by \(C\), we get a triangle \(ABC\) in which the measure of \(\measuredangle CAB \) is \(71^{\circ }\) and the measure of \(\measuredangle ABC \) is \( 34^{\circ }\). From the point \(A\) the angle of elevation of the top of the tower is \(40^{\circ }18'\). Find the height of the tower. Suppose that all \(A\), \(B\) and \(C\) are in the same height above sea level and round your answers to nearest meters.
\(32\, \mathrm{m}\)
\(30\, \mathrm{m}\)
\(35\, \mathrm{m}\)
\(38\, \mathrm{m}\)