Answer:
y ≈ 5.2
Step-by-step explanation:
∠ F = 180° - (42 + 48)° ← sum of angles in a triangle
∠ F = 180° - 90° = 90°
Thus Δ DEF is right at F
Using the sine ratio in the right triangle
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DF}{DE}[/tex] = [tex]\frac{y}{7}[/tex] ( multiply both sides by 7 )
7 × sin48° = y , then
y ≈ 5.2 ( to the nearest tenth )
