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Sagot :

Nayefx

Answer:

[tex] \displaystyle AC = 2.18[/tex]

Step-by-step explanation:

we are given a right angle triangle where:

  • BC=6
  • AC=?
  • θ=70°

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!

Hope this help!!!

Have a nice day!!!

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View image DarlinEsteves