In a rescue, the 80.0 police officer is suspended by two cables 35 degrees and 48 degrees. Find the tension in both cables?

Answer 1

You must always specify the units of physical quantities. You did not do that for the officer.

You must also specify if the degrees you mentioned are measured from horizontal or vertical. You did not do that, either.

If 80.0 is his mass in kg, and angles are measured from horizontal, and the two tension forces are T1 and T2, then
T1 cos 38 = T2 cos 48 and
M g = 785 (Newtons)
= T1 sin 38 + T2 cos 38

Use algebra to solve those two equations in the two unknowns T1 and T2. The answer will be in units of Newtons

Substituting 0.8491 T2 for T1 in the second equation will yield a quick solution for T2