A ship leaves a harbor and sails at 23.5 ∘ to the north of due west. After traveling 575 km, how far west is the ship from the harbor?

Respuesta :

Answer:

D = 527.31 Km

Explanation:

given,

angle of ship, θ = 23.5° N of W

distance travel in the direction = 575 Km

Distance of ship in west from harbor = ?

now,

Distance of the ship in the west direction

D = d cos θ

d = 575 Km

θ = 23.5°

inserting all the values

D = 575 x cos 23.5°

D = 575 x 0.91706

D = 527.31 Km

Hence, the distance travel by the ship in west from harbor is equal to D = 527.31 Km  

The distance traveled by the ship will be "527.31 Km".

Angle and Distance

According to the question,

Ship's angle, θ = 23.5° (North to West)

Distance travelled = 575 Km

We know relation, we get

→ D = dCosθ

By substituting the values, we get

      = 575 × Cos 23.5°

      = 575 × 0.91706

      = 527.31 Km

Thus the above answer is correct.

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