Answer:
See picture.
Step-by-step explanation:
First, I would start by drawing the triangle. We know it is a right triangle, so start with that. I then set the given angle (30 degrees) to be the top angle. Then, I drew the right angle. I then used the acronym "SOH CAH TOA" to find out what equation I needed to use. We were given the adjacent side, so I decided to use cosine. The equation for cosine is adjacent/hypotenuse. I setup my equation [tex]cos(30)=\frac{15}{b}[/tex]. Then, I solved the equation for b. To find the last side, I used Pythagorean's theorem [tex]a^{2} + b^{2} = c^{2}[/tex] to find side C. To find the missing angle, I added 90 (the right angle) to 30 (the top angle) and got 120. I then subtracted 120 from 180 because the all the angles added together in a triangle must equal 180.
