Everything In The US Has To Be Supersized

Calculus Level 4

During Expo '74 in Spokane, Washington, an IMAX screen that measured 27 meters by 20 meters was featured in the US Pavilion. For those that stood in front of it, it appears that the total vision field was completely filled. This created a sensation of motion in most viewers, which resulted in motion sickness in some people.

Suppose that the floor of the US pavilion is perfectly flat, and that the bottom of the screen is located 5 meters above of Susie's eye level. The viewing angle is defined to be the angle between the two lines which connect the top and the bottom of the screen to Susie's eyes.

To one decimal place, what is the measure (in degrees) of the largest viewing angle that Susie can have as she walks around the US pavilion?

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