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? is the answer 49.07

Answer 1

To find the horizontal distance covered by the zipline, we can use trigonometry.

Let's call the initial height of the zipline (25 feet) as the opposite side (O) and the horizontal distance covered (x) as the adjacent side (A). The angle of elevation (27 degrees) is the angle between the hypotenuse and the adjacent side.

In trigonometry, we can use the tangent function to find the value of x:

tan(angle) = opposite/adjacent

tan(27 degrees) = 25 feet/x

Using a calculator, we find:

0.5095 = 25/x

Simplifying the equation, we divide both sides by 0.5095:

x = 25/0.5095

x ≈ 49.05

The horizontal distance covered by the zipline, x, is approximately 49.05 feet.