Question #196294

A, B & C form the vertices of a triangle.

 CAB = 90°, ∠

 ABC = 74° and AB = 8.9.

Calculate the length of BC rounded to 3 SF.


1
Expert's answer
2021-05-24T00:24:01-0400

In triangle BAC

A=90oB=74o\angle A=90^o\\ \angle B=74^o\\

And AB= 8.9

So

Cos(74o)=ABBCCos(74^o)=\frac{AB}{BC}

0.27=8.9BC0.27=\frac{8.9}{BC}


BC=32.9


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