Answer:
The new position of the sailboat is 108.2 m, at N 53.3° E
Explanation:
From the image uploaded, R is the resultant displacement and it is calculated as;
R² = 90² + 60² (Pythagoras theorem)
R² = 11700
R = √11700
R = 108.2 m
The direction of the boat is given by θ in the image uploaded;
tanθ = opp/adj
tanθ = 90 / 60
tanθ = 1.5
θ = tan⁻¹(1.5)
θ = 53.3°
θ = N 53.3° E
Therefore, the new position of the sailboat is 108.2 m, at N 53.3° E
