Solve for x. round your answer to 2 decimal places. a right triangle is shown where the angle between the hypotenuse, of length x units, and a leg, of length twelve units, is fifty one degrees.

x = 19.08

Step-by-step explanation:

We are given a right angle triangle having the angle between the hypotenuse and the leg (or adjacent side) to be 51 degree.

Also, the length of the hypotenuse is given to be 'x units' and length of adjacent side is 12 units.

Now, using trigonometry we can define the angles of the triangle as:

cos =

i.e. cos(51) =

i.e. x =

i.e. x =

i.e. x = 19.08 units.

Hence, the length of the hypotenuse i.e. x is 19.08 units.

(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