The first thing we must do is define a variable.
We have then:
x: Linda's speed.
Then, by definition, the time traveled is equal to the distance between the velocity.
We have then:
For Linda:
For Miguel:
Then, since time is the same, then:
Clearing Linda's speed we have:
Then, Miguel's speed is:
Answer:
Linda's speed is 10 Km/h
Miguel's speed is 14 Km/h
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
