Answer:
d. t ≈ 5m
e. y ≈ 44°
f. x = 36°
Step-by-step explanation:
We'd apply the trigonometry function to solve for all missing sides and angles as follows:
d. Adjacent length = t
Hypothenuse = 11.1m
θ = 62°
Use Cos θ = adjacent/hypothenuse
Cos(62) = t/11.1
Multiply both sides by 11.1
11.1*cos(62) = t
11.1*0.4695 = t
t = 5.21 ≈ 5 m
e. Opposite = 7m
Hypotenuse = 10m
θ = y°
Use sine θ = opposite/hypotenuse
Thus,
sine θ = 7/10
sine θ = 0.7
θ = sin-¹(0.7) = 44.4
y ≈ 44° (nearest whole number)
f. Opposite = 4.2cm
Adjacent = 5.8cm
θ = x°
Use tan θ = opposite/adjacent
tan θ = 4.2/5.8
tan θ = 0.7241
θ = tan-¹(0.7241) = 35.91
θ = x ≈ 36°
