The sail of a boat is in the shape of a right triangle, as shown below:
Which expression shows the height, in meters, of the sail?

D

Explanation:

The solution to the problem is  

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:

From the given diagram, we know:

   Adjacent axis and the opposite angle;

  tan Ф =

 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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