a ski slope on a mountian has an angle of elevation of 25.2 degrees. the vertical height of the slope is 1808 feet. how long is the slope?
anonymous just gave you the answer.
Your error was to divide sin25.2 by 1808,
should have been 1808/sin25.2
(cross-multiply the equation and you won't make that mistake)
to get 4246 feet
thanks so much!
it will be wrong then. the real answer is 4278.
To find the length of the slope, we can use trigonometry. In this case, we will use the tangent function, which is the ratio of the opposite side to the adjacent side in a right triangle.
In this scenario, the angle of elevation is given as 25.2 degrees, and the vertical height of the slope is 1808 feet. We can set up a right triangle with the vertical height as the opposite side and the length of the slope as the adjacent side.
Let's denote the length of the slope as "x." We can use the formula for tangent:
tangent(angle) = opposite/adjacent
tan(25.2 degrees) = 1808 feet / x
Now, we can solve for the length of the slope (x):
x = 1808 feet / tan(25.2 degrees)
x ≈ 3797.87 feet
Therefore, the length of the slope is approximately 3797.87 feet.