the area of triangle ABC is 3 square root 2 square inches.find the measuare of the acute angle, angle A, if b = 9 meters and c = 2 meters

This requires a triangle area formula

A=(1/2)ab sin C=3sqrt(2)

 

In this case a and b are side lengths and C is the included angle. 

 

Therefore A=(1/2)(9)(2)Sin A=3sqrt(2)

Simplify to get 9Sin A=3sqrt(2)

Sin A = sqrt(2)/3

Sin^-1 (Sqrt(2)/3)=28.1 degrees