Question

Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?

Answer 1

Assuming that both boats are travelling in straight paths, the angle that is between their paths to the nearest degrees is =34°

Calculation of angle of triangle

A triangle is a type of polygon that has three pointed edges.

A polygon is defined as a closed object that is made up of line segments in a two dimensional plane.

Other examples of polygon include the following:

• hexagons,

• pentagons, and

• quadrilaterals.

The angle between the paths of the boats can be calculated using the formula Cos θ = a/b

Where b = 18km/h

a = 15km/h

Cos θ = 15/18

cos θ = 0.83

Therefore, θ = Cos¹0.83

θ = 33.9

θ = 34°

In conclusion, the angle that is between their paths to the nearest degrees is =34°

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