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Karen is sitting in a movie theater, 11 meters from the screen. The angle of elevation from her line of sight to the top of the screen is 13°, and the angle of depression from her line of sight to the bottom of the screen is 49°. Find the height of the entire screen.

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MechEngineer

Answer:

15.2m

Explanation:

The height of the screen would be the sum of the elevation height and the depression height, both make a triangle with her distance to screen with their respective angles

[tex]H = h_e + h_d[/tex]

[tex]H = 11tan13^0 + 11tan49^0[/tex]

[tex]H = 11(tan13^0 + tan49^0)[/tex]

[tex]H =11*1.38 = 15.2 m[/tex]

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