Question

Help!!! Find c. Round to the nearest tenth:

Answer 1

Answer:

$c = 14.9cm$

Step-by-step explanation:

Given

$b = 10cm$

$B = 12^{\circ}$

$A = 150^{\circ}$

Required

Determine the length of c

First, we calculate C (the third angle of the triangle).

$C = 180 - A - B$

$C = 180 - 150 - 12$

$C = 18^{\circ}$

Using Sine's law, we make use of:

$\frac{sin\ B}{b} = \frac{sin C}{c}$

By substituting values, we have:

$\frac{sin\ 12}{10} = \frac{sin 18}{c}$

Cross multiply

$c* sin\ 12 = 10 * sin\ 18$

Make c the subject

$c = \frac{10 * sin\ 18}{sin\ 12}$

$c = \frac{10 * 0.3090}{0.2079}$

$c = 14.9cm$ approximated