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The boat can travel with a speed of 16 km>h in still water. The point of destination is located along the dashed line. If the water is moving at 4 km>h, determine the bearing angle u at which the boat must travel to stay on course.

Respuesta :

onyebuchinnaji

Answer:

the bearing angle at which the boat must travel to stay on course is 75.5°

Explanation:

To determine the bearing angle  at which the boat must travel to stay on course;

we construct a right angled triangle, with the speed of water adjacent to the speed of the boat which is the hypotenuse.

The angle between them is the bearing angle at which the boat must travel to stay on course.

Let the angle between the still water and boat = θ

Cos θ = 4/16

Cos θ = 0.25

θ = cos⁻¹ (0.25)

θ  =  75.5°

Therefore, the bearing angle at which the boat must travel to stay on course is 75.5°

Cricetus

The bearing angle will be "75.5°".

Given:

  • Speed of boat = 16 km/h
  • Speed of water = 4 km/h

Let,

  • The angle between the still and boat be "θ".

We know,

→ [tex]Cos \Theta = \frac{4}{16}[/tex]

             [tex]= 0.25[/tex]

then,

→ [tex]\Theta = Cos^{-1} (0.25)[/tex]

       [tex]= 75.5^{\circ}[/tex]

Thus the approach above is right.

Learn more about speed here:

https://brainly.com/question/24817834

Ver imagen Cricetus

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