Here the angle is given as 55°
With respect to 55°,
8.9 cm is the opposite side
x cm is the adjacent side.
The trigonometric ratio associating these sides is tan
[tex] tan\theta=\frac{Opposite}{Adjacent} [/tex]
Substituting the values we get
[tex] \frac{8.9}{x}=tan55^{o} [/tex]
Multiplying both sides by x we get
[tex] 8.9=xtan55^{o} [/tex]
Dividing by tan55° on both sides
[tex] \frac{8.9}{tan55^{o} } =x [/tex]
So we get
[tex] x=6.2 [/tex] cm
Option a) is the right answer.
