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A fishing boat determines a pod of fish located in the ocean at an angle of depression of 25 degrees from the current boat location. The fishing boat determines the distance through the ocean to be located directly above the fish. Round to the nearest tenth.

A. 2.4 units

B. 8.6 units

C. 15.5 units

D. 34.6 units

User Luke Prior
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1 Answer

6 votes

Final answer:

Without further information such as the depth of the fish or the length of the fishing line, it is not possible to accurately determine the horizontal distance the boat must travel to be directly above the fish at an angle of depression of 25 degrees.

Step-by-step explanation:

The problem involves finding the distance a fishing boat must travel through the ocean to be located directly above a pod of fish, given an angle of depression of 25 degrees from the boat to the fish. Since we are dealing with an angle of depression and a horizontal distance, this is a trigonometry problem that involves the use of tangent function in a right triangle, where the angle of depression is equal to the angle of elevation when observed from the fish to the boat.

We can use the formula tan(θ) = opposite/adjacent, where θ is the angle of depression (25 degrees), the 'opposite' is the depth of the fish (which is not given), and the 'adjacent' is the horizontal distance we need to find. However, the depth of the fish or horizontal distance is not supplied, nor the related information to calculate it. Therefore, without additional information or context, it is not possible to determine the correct answer from the provided choices (A-D).

User Icelava
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