Answer:
The solution is:
Step-by-step explanation:
The first step to solve this equation is placing everything with the logarithmicto one side of the equality, and everything without the exponential to the other side. So
It already is in the desired format.
Now, we have that, since e and ln are inverse operations
So, we apply the exponential to both sides of the equality
Option A: The vessel has sailed 34 miles South
Explanation:
Given that the vessel sails 41 miles S 35° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,
Substituting ,
and
Hence, we get,
Simplifying, we have,
Multiplying both sides by 41, we have,
Rounding off to the nearest integer, we have,
Thus, the vessel has sailed 34 miles South.
Therefore, Option B is the correct answer.