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Sagot :
Using relations in a right triangle, it is found that the length of the zip line is of 40.4 feet.
What are the relations in a right triangle?
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
This situation can be modeled by a right triangle, in which the extension of the zip line of 48.2 feet is the hypotenuse and the length is the adjacent side to the angle of 33º, hence:
[tex]\cos{33^\circ} = \frac{l}{48.2}[/tex]
l = 48.2 x cos(33º)
l = 40.4.
The length of the zip line is of 40.4 feet.
More can be learned about relations in a right triangle at https://brainly.com/question/26396675
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