Question

Find a. Round to the nearest tenth:

Answer 1

Step-by-step explanation:

In the following triangle, a= ? , b= 2cm.

m<B= 105° , m<C = 15° ,m< A =?

Now, we know that sum of the interior angles of the triangle = 180°

m<B+m<C +m< A =180°

105°+15°+m< A=180°

m< A= 180- 120° = 60°

$\frac{ \sin( A) }{a} = \frac{ \sin(B) }{b}$

$\frac{ \sin(60) }{a} = \frac{ \sin(105) }{2}$

$a = \frac{ \sin(60) }{ \sin(105) } \times 2$

$a = 1.79$

$a = 1.8$