Answer:
[tex] \displaystyle AC = 2.18[/tex]
Step-by-step explanation:
we are given a right angle triangle where:
since BC is the opposite side and AC is is the adjacent side of the triangle therefore we can consider using tan function given by
[tex] \displaystyle \tan( \theta) = \frac{opp}{adj} [/tex]
substitute:
[tex] \displaystyle \tan( {70}^{ \circ} ) = \frac{6}{AC} [/tex]
cross multiplication:
[tex] \displaystyle AC \tan( {70}^{ \circ} ) = 6[/tex]
b
divide both sides by tan(70°):
[tex] \displaystyle AC = \frac{6}{ \tan( {70}^{ \circ} ) }[/tex]
by using calculator we obtain:
[tex] \displaystyle AC = 2.18[/tex]
and we are done!
