Suppose you walk 12.5 m in a direction exactly 19° south of west then you walk 19.5 m in a direction exactly 39° west of north. how far are you from your starting point in m?

D = 26.97 m

Explanation:

given,

you walk 12.5 m in a direction exactly 19° south of west

after that 19.5 m in a direction exactly 39° west of north.

distance calculation from the starting point = ?

D₁ = d₁ cos θ

D₁ = 12.5 x cos 19°

D₁ = 11.82 m

D₂ = d₂ cos θ

D₂ = 19.5 x cos 39°

D₂ = 15.15 m

distance from the starting point

D = D₁ + D₂

D = 11.82 + 15.15

D = 26.97 m

Distance from the starting point is equal to  26.97 m