To find the horizontal distance covered by the zipline, we can use trigonometry. We can consider the angle of elevation as the angle between the horizontal distance and the inclined line representing the zipline.
Using the sine function, we have:
sin(27 degrees) = opposite/hypotenuse
In this case, the hypotenuse represents the distance covered by the zipline, and the opposite side represents the height of 25 feet. With this in mind, we can write the equation as:
sin(27 degrees) = 25 feet / hypotenuse
Rearranging the equation, we have:
hypotenuse = 25 feet / sin(27 degrees)
Calculating this expression, we find:
hypotenuse ≈ 57.87 feet
Therefore, the horizontal distance covered by the zipline, x, is also approximately 57.87 feet.
a zipline starts 25 feet. off the ground and has an angle of elevation of 27 degrees. what is the horizontal distance the zipline will cover,x? the answer is not 49.07
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