Question

Solve for the missing side ?

Answer 1

BC = x = 8.12

AB = 15.33

Explanation:

The missing sides of the right triangle is AB and BC;

Step 1: solve for BC using the following formula;

`tan(\theta) = (Opposite \ side)/(Adjacent \ side) \\\\tan (32)= (BC)/(AC) \\\\tan(32) = (x)/(13) \\\\x = 13 * tan(32) \\\\x = 8.12 \`

Step 2; solve for AB using a trig ratio or Pythagoras theorem;

`cos (\theta) = (Adjacent \ side )/(Hypotenuse \ side) \\\\cos (32) = (AC)/(AB) \\\\cos (32) = (13)/(AB) \\\\AB = (13)/(cos (32)) \\\\AB = 15.33`