a ski slope at a mountain has an angle of elevation of 25.2 degrees. the vertical height of the slope is 1808 feet. how long is the ski slope. show diagram

1 answer

If you draw a right triangle to represent the slope, the slope would be the hypotenuse, and the height of the hill is the side opposite the angle 25.2 degrees (with the horizontal).

So by the definition of sin(θ), we get
sin(θ) = opposite / hypotenuse
where θ=25.2 degrees,
opposite = 1808 feet
Can you take it from here?