physic

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 7.37 ° above the horizontal. Approximately how far (in kilometers) are you from the base of the arch?

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1. Ht. = Y = 192 m.
Dist. = X m.
A = 7.37o.

tan7.37 = Y/X = 193/X
X = 193/tan7.37 = 1492 m. = 1.492 km.

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posted by Henry

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