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 )
:)
