Answer:
A = [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
First you have to use the pythagorean theorem to find the missing side.
You know that the hypotenuse is 17, because it is opposite of the right angle, and one side is 15.
So knowing this, you can put
15² + b² = 17²
225 + b² = 289
-225 -255
b² = [tex]\sqrt[2]{64}[/tex]
b = 8
You can now plug in 8 to the missing side.
Now you can go back to the trig phrase "SOH CAH TOA"
TOA, meaning Tan = [tex]\frac{opp}{adj}[/tex] , the number opposite of theta (θ) is 15, and the number adjacent to theta (your missing number) is 8.
Leaving you with Tanθ=[tex]\frac{15}{8}[/tex]
