Right △EFG has its right angle at E, FG=12 , and EG=8. What is the value of the trigonometric ratio of an angle of the triangle?
2 answers:
Answer:
Step-by-step explanation:
The diagram of the right angle triangle is shown in the attached photo. To determine EF, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
12² = 8² + EF²
144 = 64 + EF²
EF² = 144 - 64 = 80
EF = √80 = 8.94
1) To determine Sin G, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse. Therefore,
Sin G = 8.94/12
CSC G = 1/Sin G = 12/8.94
2) taking F as the reference angle,
EG = opposite side
FG = hypotenuse
SinF = 8/12
3) Tan F = opposite side/adjacent side
Tan F = 8/8.94
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Answer:
Option B
Step-by-step explanation:
By applying the converse theorem of corresponding angles,
"If corresponding angles formed between two parallel lines and the transversal line are equal then both the lines will be parallel"
Angle between line B and Y = 90°
Angle between line B and Z = 90°
Therefore, corresponding angles are equal.
By applying converse theorem, line Y and line Z will be parallel.
Option B will be the answer.
