Bearing is a topic that can be used to locate the position of an object at a given time. Therefore, the blimp is 80 m far away from its starting point. And in the North-East direction.
The speed of an object relates the distance it covers to the time taken to cover the said distance.
i.e speed = [tex]\frac{distance}{time taken}[/tex]
⇒ distance = speed x time taken
In the given question, the initial distance covered can be determined as;
distance = 40 mph x 3 h
= 120 m
The final distance covered can be determined as;
distance = 40 mph x 1 h
= 40 m
Let the distance from its starting point to its final location be represented by x.
Thus applying the Cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C
[tex]x^{2}[/tex] = [tex]120^{2}[/tex] + [tex]40^{2}[/tex] - 2(120 x 40) Cos 90
= 14400 + 1600 - 9600
[tex]x^{2}[/tex] = 16000 - 9600
= 6400
x = [tex]\sqrt{6400}[/tex]
= 80
x = 80 m
Therefore, the distance of the blimp from its starting point to its final destination is 80 m.
For more clarifications on bearings, visit: https://brainly.com/question/22979472
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