Respuesta :
The expression for the length of the sail is x = 7( tan 50° ).
According to the given question.
The sail of a boat is in the shape of a right triangle.
And, the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.
Now, the side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side
And, the side which we do not know the length to will be the opposite side because it is opposite from where the angle is.
So, we have the the measure of the adjacent side and the angle of the tip. And we have to find the expression for the length of the sail.
Let the length of the sail be x meters.
Now, in the given right angled triangle
We can say that
tan A = Opposite side/Adjacent side
⇒ tan 50° = x/7
⇒ x = 7( tan 50° )
Hence, the expression for the length of the sail is x = 7( tan 50° ).
Find out more information about expression here:
https://brainly.com/question/28172855
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