Answer:2.1
Step-by-step explanation:
\text{Draw a diagram:}
Draw a diagram:
D
E
F
e = 2.7
f = ?
49°
58°
\text{A.S.A.}\rightarrow \text{Law of Sines}
A.S.A.→Law of Sines
\frac{a}{\sin A}=\frac{b}{\sin B}
sinA
a
=
sinB
b
\text{Find other angle:}
Find other angle:
\angle E=180-49-58=73^{\circ}
∠E=180−49−58=73
∘
D
E
F
e = 2.7
f = ?
49°
58°
73°
\frac{f}{\sin 49}=\frac{2.7}{\sin 73}
sin49
f
=
sin73
2.7
f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1
f=
sin73
2.7sin49
≈2.131≈2.1
