Question

Find a. Round to the nearest tenth:

Answer 1

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°

`( \sin( A) )/(a) = ( \sin(B) )/(b)`

`( \sin(60) )/(a) = ( \sin(105) )/(2)`

`a = ( \sin(60) )/( \sin(105) ) * 2`

`a = 1.79`

`a = 1.8`