Suppose you walk 18.5 m straight east and then 22.5 m straight north. How far are you from your starting point in m)? וח What is the compass direction of a line connecting your starting point to you
Answers
Final answer:
The distance from the starting point is approximately 29.14 meters and the compass direction of the line connecting the starting point to the end point is approximately 50.03° east of north.
Explanation:
To find the distance from the starting point, we can use the Pythagorean theorem which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. In this case, the two legs of the triangle represent the distances walked in the east and north directions. So, the distance from the starting point is:
Distance = sqrt((18.5)^2 + (22.5)^2)
Distance = sqrt(342.25 + 506.25)
Distance = sqrt(848.50)
Distance ≈ 29.14 meters
To determine the compass direction of the line connecting the starting point to the end point, we can use trigonometry. We can find the angle of this line with respect to the east direction using the tangent function:
Angle = arctan(22.5/18.5)
Angle ≈ 50.03°
Therefore, the distance from the starting point is approximately 29.14 meters and the compass direction of the line connecting the starting point to the end point is approximately 50.03° east of north.
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Step-by-step explanation:
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Answers
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Answers
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
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Answer:
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Step-by-step explanation: