aPLEASE HELP In ΔKLM, the measure of ∠M=90°, the measure of ∠K=41°, and MK = 38 feet. Find the length of LM to the nearest tenth of a foot.

33.0

Step-by-step explanation:

Using the pythagoras theorem

tan theta = opposite/adjacent

tan 41 = x/38

x = 38tan41

x = 38(0.8693)

x = 33.03

Hence the value of x to nearest tenth is 33.0

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47