You are driving into St. Louis, Missouri, and in the distance you see the famous Gateway-to-the-West arch. This monument rises to a height of 192 m. You estimate your line of sight with the top of the arch to be 3.1° above the horizontal. Approximately how far (in kilometers) are you from the base of the arch?
The gondola ski lift at Keystone, Colorado, is 2880 m long. On average, the ski lift rises 14.0° above the horizontal. How high is the top of the ski lift relative to the base?
2007-09-06 13:06:56 · 3 answers · asked by yummy_girlscout 1 in Science & Mathematics ➔ Physics
If we assume the ground is level, and no earth curvature, then
Tan(3.1)=192/d
d=192/tan(3.1)
j
2007-09-06 13:12:10 · answer #1 · answered by odu83 7 · 0⤊ 0⤋
odu is correct on the first Q, here's the second:
sin(14 deg) = h/2880
h = 2880*sin(14 deg)
2007-09-07 10:09:24 · answer #2 · answered by kirchwey 7 · 0⤊ 0⤋
I think it was because of the apple that fell from the tree
2007-09-06 13:09:58 · answer #3 · answered by jay s 4 · 0⤊ 1⤋