Please help :/ it’s pythagorean theorem

Step-by-step explanation:

The formula for Pythagorean theorem is [ a² + b² = c² ]. We are already given "a" and "c" for both problems, so, solve the theorem for b.

Question 1:

5² + b² = 12²

25 + b² = 144

b² = 119

√b = √119

b ≈ 10.9ft

Question 2:

6² + b² = 15²

36 + b² = 225

b² = 189

√b = √189

b = 13.7ft

Best of Luck!

(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