Answer:
BC = x = 8.12
AB = 15.33
Step-by-step explanation:
The missing sides of the right triangle is AB and BC;
Step 1: solve for BC using the following formula;
[tex]tan(\theta) = \frac{Opposite \ side}{Adjacent \ side} \\\\tan (32)= \frac{BC}{AC} \\\\tan(32) = \frac{x}{13} \\\\x = 13 \times tan(32) \\\\x = 8.12 \[/tex]
Step 2; solve for AB using a trig ratio or Pythagoras theorem;
[tex]cos (\theta) = \frac{Adjacent \ side }{Hypotenuse \ side} \\\\cos (32) = \frac{AC}{AB} \\\\cos (32) = \frac{13}{AB} \\\\AB = \frac{13}{cos (32)} \\\\AB = 15.33[/tex]
