Three holes are drilled into a steel plate Find the distance

Three holes are drilled into a steel plate. Find the distances A and B shown in the figure. Round to the nearest hundredth of an inch.

Solution

let C=3(1/2)\"=3.5\"

cos41^o20\'=C/B

cos41^o20\'=3.5\"/B

B=3.5\"/cos41^o20\'

B=4.66\"

tan41^o20\'=A/C

A=Ctan41^o20\'

A=3.5\"tan41^o20\'

A=3.08\"