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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 9.53 ° above the horizontal. approximately how far (in kilometers) are you from the base of the arch?

Respuesta :

Height of the monument is given by

[tex]H = 192 m[/tex]

angle = 9.53 degree

now by geometry

[tex]tan\theta = \frac{H}{d}[/tex]

[tex]tan9.53 = \frac{192}{d}[/tex]

[tex]d = 1143.67 m[/tex]

so its distance is 1143.67 m

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