Answer:
∠F ≈ 74°
Step-by-step explanation:
The law of cosines is used to find the measures of angles in a triangle when the side lengths are known.
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f² = g² +h² -2gh·cos(F) . . . . . law of cosines relating to angle F
cos(F) = ((g² +h² -f²)/(2gh)) . . . . . solve for cos(F)
F = arccos((g² +h² -f²)/(2gh)) . . . . . . solve for angle F
F = arccos((10² +62² -60²)/(2·10·62)) = arccos(344/1240)
∠F ≈ 74°
