Question

If c=25 and B=75 degrees, find a. Round to the nearest tenth.

Answer 1

Answer:

a=6.9

Step-by-step explanation:

Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get $\frac{\sin(90^\circ)}{25} = \frac{\sin(16^\circ)}{a}$, which after cross multiplying yields $a=\sin(16^\circ)\cdot25\approx 6.9$. PM me if you have any questions?