... of the slope. A ski slope has a vertical drop of 800 meter. THe angle of elevation is 22 degrees. What is the length of teh slope? Please explain. Thanks!
2007-03-09 04:18:15 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
You have a right triangle with a 22 degree angle
The side opposite the 22 degree angle (the 800 meter drop) divided by the hypotenuse (the length of the slope ) is equal to the sine of 22 degrees. So slope length 800/sin 22
= 800/sin9220 = 2,135.6 meters
2007-03-09 04:28:14 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
this is a situation where you have a right triangle with known height and known base angle and you want the slant distance or radius vector. Use the definition of the sine.
sin(theta) = h/r
therefore:
r = h/sin(theta) = 800/sin(22) the rest is arithmatic.
2007-03-09 14:32:10 · answer #2 · answered by bignose68 4 · 0⤊ 0⤋