Answer:
12.903
Step-by-step explanation:
You want the measure of BC in right triangle ABC with A=90°, B=47° and AB=8.8.
Trig relations
The relations between sides and trig functions of the angles in a right triangle are summarized by the mnemonic SOH CAH TOA. Useful here is the relation between the side adjacent to the given acute angle and the hypotenuse:
Cos = Adjacent/Hypotenuse
cos(47°) = AB/BC
Solution
Solving for BC, we get ...
BC = AB/cos(47°) = 8.8/cos(47°)
The calculator (2nd attachment) shows this to be ...
BC = 12.903
