9514 1404 393
Answer:
77.3 cm
Step-by-step explanation:
The distance FA is the diagonal of rectangle ABFE. We know the length AB, so we need to find the length BF. That is found using the trig relation ...
cos(25°) = BC/BF
BF = BC/cos(25°) ≈ (60 cm)/0.906308 ≈ 66.203 cm
Then the diagonal length FA is found using the Pythagorean theorem:
FA = √(AB² +BF²)
FA = √(40² +66.203²) ≈ √5982.79 ≈ 77.349 . . . cm
The diagonal length FA is about 77.3 cm.
