Concept explainers
(a)
To find:The distance of the sailboat from the island.
(a)
Explanation of Solution
The distance is calculated as,
Therefore, the distance of the sailboat from the island is
(b)
To find: The angle of turn of the boat.
(b)
Explanation of Solution
Consider the figure shown below.
Apply the law of cosine in triangle ABC.
Now, apply the law of cosine.
The required angle of turn of boat is calculated as,
Therefore, the required angle of turn is
(c)
To find: The amount of time added to the trip.
(c)
Explanation of Solution
The total distance covered is,
The extra distance covered,
Thus, the extra time added,
Therefore, the extra time added is
Chapter 8 Solutions
Precalculus
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