The inertia with the speed of 2.9 m/s has moved a distance of 3.6 kilometers in the west direction and 2.35 kilometers in the north direction.
<h3>What are trigonometric ratio?</h3>
In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.
Given:
Speed of the speed 2.9 m/s
The direction in which the inertia change is moving = 43° north west.
Time taken to travel the distance = 30 minutes
According to the question that is moving in a Northwest direction with a velocity of 2.9 m per second.
If you want to find the distance it has moved in either North or west direction you will first have to find the total distance that kayak has moved in 30 minutes.
The distance travel by the kayak in 30 minutes = speed of person × time taken
The distance travel by the person in 30 minutes = 2.9 × 30 × 60
The distance travel by the person in 30 minutes = 5220 metre
The distance travel by the person in 30 minutes = 5.22 km
The distance traveled in the west direction can be find using trigonometric ratio.
5.2 × sin 43 = The distance traveled in the west direction
The distance traveled in the west direction = 3.6 kilometers
The distance traveled in the west = cos 43 × 5.2
The distance traveled in the west = 2.35 km
Therefore, The person with the speed of 2.9 m/s has moved a distance of 3.6 kilometers in the west direction and 2.35 kilometers in the north direction.
Learn more about the trigonometric ratio here:
brainly.com/question/26719838
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