Question

Please help need asap

Answer 1

`\displaystyle AC = 2.18`

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

`\displaystyle \tan( \theta) = (opp)/(adj)`

substitute:

`\displaystyle \tan( {70}^( \circ) ) = (6)/(AC)`

cross multiplication:

`\displaystyle AC \tan( {70}^( \circ) ) = 6`

b

divide both sides by tan(70°):

`\displaystyle AC = \frac{6}{ \tan( {70}^( \circ) ) }`

by using calculator we obtain:

`\displaystyle AC = 2.18`

and we are done!