Question

Calculate AB.

Answer 1

In ΔMOA,

${\displaystyle {\cos 30}^{\circ }=\frac{AO}{MO}}$

${\displaystyle \Rightarrow \frac{\sqrt{3}}{2}=\frac{AO}{6}}$

${\displaystyle \Rightarrow }$ AO = 5.20 m

In ΔBNO,

${\displaystyle {\sin 47}^{\circ }=\frac{OB}{NO}}$

${\displaystyle \Rightarrow 0.73=\frac{OB}{5}}$

${\displaystyle \Rightarrow }$ OB = 3.65 m

AB = OA + OB

${\displaystyle \Rightarrow }$ AB = 5.20 + 3.65

${\displaystyle \Rightarrow }$ AB = 8.85 m