Question

................. plz let only deltaalex answer:) don’t trust anyone on here but them!

Answer 1

Answer:

Step-by-step explanation:

oh law of sines   soo  sin(A) / a = Sin(B) / b

2a)

here DE = side f   then let's find that side with law of sines and plug side f in as 'a' in law of sines , so

Sin(28) / a = Sin(54) / 31  ( where a = f = DE )

can you do the algebra here Emily?  or do you want me to show that?

Sin(28) *31 / Sin(54) = a

17.989 =a

18.0 =a       (rounded to nearest 10th)

DE = 18.0 m

2b)

find RT  where RT = side a

since they give use 2 of the other sides of the triangle we can quickly figure out the S angle.   180 = 71+62+S   so  S = 47°  ( I'm going kinda fast b/c I don't know how much time you have  :? )

then Sin(A) /a = Sin(B) / b

Sin(47) / a = Sin(62) / 29

Sin(47) *29 / Sin(62) = a

24.020 = a

RT = 24.0 meters  ( rounded to nearest 10th )

2c)

they want us to find ∠X with law of sines soo

I'll just use the letter they give us for variables

Sin(X) / x  = Sin(Y ) / y

Sin(X) = x* Sin(y) / y

X = arcSin [ 14 * Sin(108) / 34 ]

X = arcSin [ 0.3916115]

X = 23.0548°

X= 23°  ( rounded to nearest degree )

2d)

they ask us to find ∠E

I'll , again, use the letter they give us for variables

Sin(E) / e = Sin( F ) / f

Sin(E) / 18 = Sin(78) / 30

E = arcSin[ 18 * Sin(78) / 30 ]

E = arcSin [ 0.5868856 ]

E = 35.936 °

E = 36 °    ( rounded to nearest degree )

:)