Physics Question?
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?
If we assume the ground is level, and no earth curvature, then
Tan(3.1)=192/d
d=192/tan(3.1)
j
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