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 $9.94^\circ$ above the horizontal. Approximately how far (in kilometers) are you from the base of the arch? Number Units

Name: 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 o 53826
Uploaded: 2021-09-18T13:02:31-08:00
Duration: 1 min 57 s
Channel: Christopher Dzorkpata
Description: 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 o 53826

          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 $9.94^\circ$ above the horizontal. Approximately how far (in kilometers) are you from the base of the arch?
Number
Units

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 o 53826

Added by Anna C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Christopher Dzorkpata

09/18/2021

Step 1

- The angle of elevation ($\theta$) = $9.94^\circ$. - The distance from the base of the arch to the observer is the adjacent side (d), which we need to find. We can use the tangent function, which relates the opposite side, the adjacent side, and the Show more…

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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 $9.94^\circ$ above the horizontal. Approximately how far (in kilometers) are you from the base of the arch? Number Units