Question

Find c, given that a + 18.2, B = 62, and C =48. Round answer to the nearest whole number. Do not use a decimal point or extra spaces in the answer or it will be marked incorrect

Answer 1

Answer:

$c=14$

Step-by-step explanation:

a = 18.2

$\angle B=62^{\circ}$

$\angle C=48^{\circ}$

$\angle A=180-(62+48)=70^{\circ}$

From sine rule we have

$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

$\Rightarrow \dfrac{\sin A}{a}=\dfrac{\sin C}{c}$

$\Rightarrow c=\dfrac{\sin C}{\sin A}a$

$\Rightarrow c=\dfrac{\sin 48^{\circ}}{\sin 70^{\circ}}\times 18.2$

$\Rightarrow c=14.4\approx 14$

$\boldsymbol{\therefore c=14}$.