Question

The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?

Answer 1

Answer: d. 2 divided by cot 40 degrees

Step-by-step explanation:  in this right triangle, we are given an angle and the adjacent side of the angle. now we have to find for the length of the opposite side. the formula that relates these 3 variables is the tan function which states that:

 

tan θ = opposite side / adjacent side

where opposite side is the height of the sail

 

substituting the values into the formula:

tan (40) = height / 2

rearranging in terms of height:

height = 2 * tan (40)

 

since tan θ = 1 / cot θ, therefore:

height = 2 / cot (40)

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