You are driving into St. Louis, Missouri, and in the distanceyou see the famous

Question

You are driving into St. Louis, Missouri, and in the distanceyou see the famous Gateway-to-the-West arch. This monument rises toa height of 192 m. You estimate your line of sight with the top ofthe arch to be 4.17 ° above the horizontal. Approximately howfar (in kilometers) are you from the base of the arch? We are given 3 sig figs. and our computer system ismessed up and very picky. i get an answer of 1151.05 m or 1.15km and it is wrongapparently please help. You are driving into St. Louis, Missouri, and in the distanceyou see the famous Gateway-to-the-West arch. This monument rises toa height of 192 m. You estimate your line of sight with the top ofthe arch to be 4.17 ° above the horizontal. Approximately howfar (in kilometers) are you from the base of the arch? We are given 3 sig figs. and our computer system ismessed up and very picky. i get an answer of 1151.05 m or 1.15km and it is wrongapparently please help.

Explanation / Answer

tan (4.17 degrees) = 192/x x = 2630 meters

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