41% of the workers at Motor Works are female, while 48% of the workers at City Bank are female. If a worker is selected at random, what is the probability that the worker will be from Motor Works,
given that the worker is female? Round your answer to the nearest tenth, if necessary.
A) 41%
B) 48%
C) 46.1%
D) 53.9%

Respuesta :

we know that
In a right triangle NPM
cos 71°=adjacent side angle 71°/hypotenuse
adjacent side angle 71°=side NP
hypotenuse=side NM
NP=15
NM=p
so
cos 71=NP/NM
cos 71=15/p
solve for p
p=15/cos 71°
p=46.07----------->p=46.1 units
therefore
the answer is
46.1