Question

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

Answer 1

s = 6 inches

Explanation:

Given:

r = 53 inches,

∠S = 6°

∠T = 58°.

Required:

Length of s

Solution:

Use Sine Rule

Thus:

`(s)/(Sin(S)) = (r)/(Sin(R))`

<R = 180 - (58 + 6)

<R = 116°

r = 53 inches,

∠S = 6°

s = ?

Plug in the values

`(s)/(Sin(6)) = (53)/(Sin(116))`

Multiply both sides by Sin(6)

`(s)/(Sin(6)) * Sin(6) = (53)/(Sin(116)) * Sin(6)`

`s = (53 * Sin(6))/(Sin(116))`

`s = 6 inches` (nearest inch)