Can someone please help me on this? I am very confused. Thank you!

The answer to your question is below

Step-by-step explanation:

1) Find x

-Use trigonometric functions

sinФ = x / 10√3

-Solve for x

 x = 10√3 x sin 30

-simplification

x = 10√3 x (1/2)

x = 5√3

-Calculate y

cos Ф = y/10√3

-solve for y

 y = 10√3 x cos 30

-Simplification

 y = 10√3 (√3/2)

-result

 y = 10(3)/2

 y = 15

2.-

sin Ф = x/15

-solve for x

 x = 15 sin 45

-simplify

 x = 15(√2)/2

-result

x = 15√2 / 2

3.- sin Ф = y/7

-solve for y

   y = 7 sin 45

-simplify

  y = 7 (√2)/2

-result

y = 7√2 / 2

-Calculate x

tanФ = 7√2/2 / x

-solve for x

x = 7/2√2 / tan 60

-simplify

x = 7/2√2 / √3

-result

x = 7√6/ 6

4.-

-Calculate the length of the right triangle

 tan Ф = 11√2 / x

-solve for x

 x = 11√2 / tan Ф

-substitution

 x = 11√2 / 1

-result

x = 11√2

-Calculate b

b = 8√2 + 11√2

b = 19√2

-Calculate a

sinФ = 11√2 / a

-solve for a

 a = 11√2 / sin 45

-simplification

 a = 11√2 / √2/2

-result

a = 22          

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation: