Answer:
s = 6 inches
Step-by-step explanation:
Given:
r = 53 inches,
∠S = 6°
∠T = 58°.
Required:
Length of s
Solution:
Use Sine Rule
Thus:
[tex] \frac{s}{Sin(S)} = \frac{r}{Sin(R)} [/tex]
<R = 180 - (58 + 6)
<R = 116°
r = 53 inches,
∠S = 6°
s = ?
Plug in the values
[tex] \frac{s}{Sin(6)} = \frac{53}{Sin(116)} [/tex]
Multiply both sides by Sin(6)
[tex] \frac{s}{Sin(6)} \times Sin(6) = \frac{53}{Sin(116)} \times Sin(6) [/tex]
[tex] s = \frac{53 \times Sin(6)}{Sin(116)} [/tex]
[tex] s = 6 inches [/tex] (nearest inch)
