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Answer:
37.59 nautical miles
Explanation:
Distance = Speed x Time
The speed of the first ship = 12 knots
Thus, the distance covered after 1.5 hours
The speed of the second ship = 22 knots
Thus, the distance covered after 1.5 hours
The diagram representing the ship's path is drawn and attached below:
The angle at port = 90 degrees.
The triangle is a right triangle.
Using Pythagorean Theorem:
The two ships are 37.59 nautical miles apart after 1.5 hours.
Answer:
The given statement:
The expression cos^-1 (3/5) has an infinite number of values is a true statement.
Step-by-step explanation:
We are given a expression as:
Let us equate this expression to be equal to some angle theta(θ)
i.e.
Let
As we know that the limit point of the cosine function is [-1,1]
i.e. it takes the value between -1 to 1 and including them infinite number of times.
Also,
-1< 3/5 <1
This means that the cosine function takes this value infinite number of times.
That is there exist a infinite number of theta(θ) for which:
i.e. the expression:
has infinite number of values.