*see attachment for the diagram and more info
Answer:
236 m
Explanation:
Total distance Remy will swim = CA + AD + DB + BC
✔️Find AD and CA using trigonometry function:
Reference angle = 43°
Opp = AD
Hypotenuse = CA
Adjacent = 60 m
Tan 43 = opp/adj
Tan 43 = AD/60
60 × Tan 43 = AD
60 × 0.93 = AD
55.8 = AD
✅AD = 55.8 m
Cos 43 = adj/hyp
Cos 43 = 60/CA
CA × Cos 43 = 60
CA = 60/Cos 43
CA = 60/0.73
✅CA ≈ 82.2 m
✔️Find DB and BC:
Refernece angle = 27°
Adj = 60 m
Opp = DB
hyp = BC
Tan 27 = opp/adj
Tan 27 = DB/60
60 × Tan 27 = DB
60 × 0.51 = DB
✅DB = 30.6 m
Cos 27 = adj/hyp
Cos 27 = 60/BC
BC = 60/Cos 27
BC = 60/0.89
✅BC ≈ 67.4 m
✔️Total distance Rent will swim = 55.8 + 82.2 + 30.6 + 67.4 = 236 m