Math CentralQuandaries & Queries


Question from Jolie, a student:


I am trying to figure out what height from the ground a person's eyes are if they have a 12 degree visual angle to a screen that is 58cm away from their eyes?

Thank you.

Hi Jolie,

You currently do not have enough information to be able to calculate the eye level height. In the following diagram H is the height of the screen, E is the eye level height, D is the distance from the viewer to the screen, h is the visual angle and e is the angle of depression (angle from the line of sight to the bottom of the screen).

visual angle

The formula for visual angle

can be rearranged to solve for the height of the screen

We can use the following relation between the height of screen H and the eye level height E

then rearrange it to solve for E

As you can see, we are missing the angle of depression e so eye level height cannot be solved.

Hope this helps,



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