Question

Calculate AB.

Answer 1

In ΔMOA,

`cos 30^circ = (AO)/(MO)`

`=> sqrt(3)/2 = (AO)/6`

`=>` AO = 5.20 m

In ΔBNO,

`sin 47^circ = (OB)/(NO)`

`=> 0.73 = (OB)/5`

`=>` OB = 3.65 m

AB = OA + OB

`=>` AB = 5.20 + 3.65

`=>` AB = 8.85 m