Question

can someone help me with this problem, please? Solve the triangle. Round decimal answers to the nearest tenth.

Answer 1

Answer:

A is about 37.6 degrees

B is about 38.4 degrees

a is about 15.7 units

Step-by-step explanation:

Using the law of sines, you know that:

$\dfrac{\sin 104}{25}=\dfrac{\sin B}{16}$

$B\approx 38.4^{\circ}$

Since all of the angles of a triangle add up to 180 degrees, angle A must be 180-104-38.4=37.6 degrees.

Finally, for side a:

$\dfrac{\sin 104}{25}=\dfrac{\sin 37.6}{a}$

$a\approx 15.7$

Hope this helps!