The length of side m is 6.4 feet.
What is the Law of Sines?
Law of Sines is defined as the ratio of each side of a plane triangle to the sine of the opposite angle is the same for all three sides and angles.
The measures of ∠ J = 45°,
The measures of ∠ M = 40°, and
The length of side j = 7 feet
According to Law of Sines,
sin(∠J)/ side j = sin(∠M)/side m
Substitute the values in above equation,
sin(45°)/ 7 = sin(40°)/side m
Substitute the values of sin(45°) = 0.7071 and sin(40°) = 0.642
0.7071 / 7 = 0.642/side m
side m = (0.642/0.7071)7
side m = (0.642/0.7071)7
side m = (0.9079)7
side m = 6.36
side m = 6.4 (Round the nearest tenth)
Hence, the length of side m is 6.4 feet.
Lean more about Law of Sines here:
https://brainly.com/question/17289163
#SPJ5