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crimeas [40]
3 years ago
15

The sail of a boat is in the shape of a right triangle, as shown below:

Geography
1 answer:
trasher [3.6K]3 years ago
4 0

Answer:

D

Explanation:

The solution to the problem is  \frac{2}{cot 40}

How did we arrive at this:

    We are going to use trigonometric ratios to solve this problem. The diagram of the sail forms a perfect and unique right angle triangle.

From the diagram, we can easily decipher the:

  • hypotenuse axis
  • opposite axis
  • adjacent axis

From the given diagram, we know:

   Adjacent axis and the opposite angle;

  tan Ф = \frac{opposite}{adjacent}

 The unknown axis faces the opposite side;

        Opposite = adjacent x  tan Ф

        Opposite = 2 x tan Ф

Note;

           tan Ф = 1/ cot Ф

    opposite = 2 x 1/ cot Ф

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