Question

What is m∠F ?

Round the answer to the nearest whole number.



30°

35°

55°

60°

Answer 1

e^2=d^2+f^2
e^2=7^2+4^2
e^2=49+16
e^2=65
e=(65)^(1/2)
E=90 degrees
F=tan^-1(f/d)
F=tan^-1(4/7)
F=29.7448813 degrees, so 30 degrees

Answer 2

Angle F = arctan(4/7)

arc tan on the calculator is tan^-1

arctan(4/7) = 29.74 degrees

rounded to 30 degrees