$#4 Find the value of x. Round answer to nearest tenth.

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is x

With m∠54 as the reference angle,

The unknown is the adjacent side of the right angle triangle.

The opposite side of the right angle triangle is 19

To determine x, we would apply the Sine trigonometric ratio.

Sine θ = opposite side/hypotenuse. Therefore,

Sin 54 = 19/x

x = 19/Sin54 = 19/0.809

x = 23.5 to the nearest tenth.

(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