Question

In ΔRST, r = 53 inches, ∠S=6° and ∠T=58°. Find the length of s, to the nearest inch.

Answer 1

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:

$\frac{s}{Sin(S)} = \frac{r}{Sin(R)}$

<R = 180 - (58 + 6)

<R = 116°

r = 53 inches,

∠S = 6°

s = ?

Plug in the values

$\frac{s}{Sin(6)} = \frac{53}{Sin(116)}$

Multiply both sides by Sin(6)

$\frac{s}{Sin(6)} \times Sin(6) = \frac{53}{Sin(116)} \times Sin(6)$

$s = \frac{53 \times Sin(6)}{Sin(116)}$

$s = 6 inches$ (nearest inch)