Concept explainers
Find the distance between the planes at 2 PM.
Answer to Problem 15CR
C
Explanation of Solution
Given:
Two planes leave the airport at noon, one travelling east at 300 km/h and the other travelling northwest at 450 km/h .
Formula Used:
Law of Cosine :
Calculation:
Since one plane is going in the East and the other one in Northwest direction, so, the angle between them is
After two hours,
The plane going in east has speed 300 km/h will reach = 300(2) = 600 km
The plane going in northwest has speed 450 km/h will reach = 450(2) = 900 km
Represent the situation and solve :
Now, Use Law of Cosine to find c:
So, the distance between them after 2 hours is about 1390.57 km.
So, the correct option is C.
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Algebra and Trigonometry: Structure and Method, Book 2
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