<Table> <Tr> <Td> VD = DS (NHR NVR) 2 + 1 ⋅ CVR ⋅ tan ⁡ 1 60 (\ displaystyle (\ textrm (VD)) = (\ frac (\ textrm (DS)) ((\ sqrt (\ left ((\ frac (\ textrm (NHR)) (\ textrm (NVR))) \ right) ^ (2) + 1)) \ cdot (\ textrm (CVR)) \ cdot \ tan (\ frac (1) (60))))) <Dl> <Dd> Where: </Dd> </Dl> <Dl> <Dd> <Dl> <Dd> VD: Viewing distance </Dd> <Dd> DS: Display's diagonal size </Dd> <Dd> NHR: Display's native horizontal resolution (in pixels) </Dd> <Dd> NVR: Display's native vertical resolution (in pixels) </Dd> <Dd> CVR: Vertical resolution of the video being displayed (in pixels) </Dd> </Dl> </Dd> </Dl> <Dl> <Dd> Note: Make sure the angle mode is set to degrees when calculating the tangent . If using a spreadsheet such as Excel, you must multiply the angle by PI () / 180 . If DS is given in inches, VD will be in inches . If VD in meters is desired, multiply VD by 2.54 and divide by 100 . </Dd> </Dl> </Td> <Td> Example for DVD video on a 32 - inch 1080p HDTV: <P> VD = 32 (1920 1080) 2 + 1 ⋅ 480 ⋅ tan ⁡ 1 60 = 112.36 (\ displaystyle (\ textrm (VD)) = (\ frac (\ textrm (32)) ((\ sqrt (\ left ((\ frac (\ textrm (1920)) (\ textrm (1080))) \ right) ^ (2) + 1)) \ cdot (\ textrm (480)) \ cdot \ tan (\ frac (1) (60)))) = 112.36) (inches) </P> <P> Example for high - def video on a 32 - inch 1080p HDTV: </P> <P> VD = 32 (1920 1080) 2 + 1 ⋅ 1080 ⋅ tan ⁡ 1 60 = 49.94 (\ displaystyle (\ textrm (VD)) = (\ frac (\ textrm (32)) ((\ sqrt (\ left ((\ frac (\ textrm (1920)) (\ textrm (1080))) \ right) ^ (2) + 1)) \ cdot (\ textrm (1080)) \ cdot \ tan (\ frac (1) (60)))) = 49.94) (inches) </P> </Td> </Tr> </Table> <Tr> <Td> VD = DS (NHR NVR) 2 + 1 ⋅ CVR ⋅ tan ⁡ 1 60 (\ displaystyle (\ textrm (VD)) = (\ frac (\ textrm (DS)) ((\ sqrt (\ left ((\ frac (\ textrm (NHR)) (\ textrm (NVR))) \ right) ^ (2) + 1)) \ cdot (\ textrm (CVR)) \ cdot \ tan (\ frac (1) (60))))) <Dl> <Dd> Where: </Dd> </Dl> <Dl> <Dd> <Dl> <Dd> VD: Viewing distance </Dd> <Dd> DS: Display's diagonal size </Dd> <Dd> NHR: Display's native horizontal resolution (in pixels) </Dd> <Dd> NVR: Display's native vertical resolution (in pixels) </Dd> <Dd> CVR: Vertical resolution of the video being displayed (in pixels) </Dd> </Dl> </Dd> </Dl> <Dl> <Dd> Note: Make sure the angle mode is set to degrees when calculating the tangent . If using a spreadsheet such as Excel, you must multiply the angle by PI () / 180 . If DS is given in inches, VD will be in inches . If VD in meters is desired, multiply VD by 2.54 and divide by 100 . </Dd> </Dl> </Td> <Td> Example for DVD video on a 32 - inch 1080p HDTV: <P> VD = 32 (1920 1080) 2 + 1 ⋅ 480 ⋅ tan ⁡ 1 60 = 112.36 (\ displaystyle (\ textrm (VD)) = (\ frac (\ textrm (32)) ((\ sqrt (\ left ((\ frac (\ textrm (1920)) (\ textrm (1080))) \ right) ^ (2) + 1)) \ cdot (\ textrm (480)) \ cdot \ tan (\ frac (1) (60)))) = 112.36) (inches) </P> <P> Example for high - def video on a 32 - inch 1080p HDTV: </P> <P> VD = 32 (1920 1080) 2 + 1 ⋅ 1080 ⋅ tan ⁡ 1 60 = 49.94 (\ displaystyle (\ textrm (VD)) = (\ frac (\ textrm (32)) ((\ sqrt (\ left ((\ frac (\ textrm (1920)) (\ textrm (1080))) \ right) ^ (2) + 1)) \ cdot (\ textrm (1080)) \ cdot \ tan (\ frac (1) (60)))) = 49.94) (inches) </P> </Td> </Tr> <Dl> <Dd> Where: </Dd> </Dl> <Dl> <Dd> <Dl> <Dd> VD: Viewing distance </Dd> <Dd> DS: Display's diagonal size </Dd> <Dd> NHR: Display's native horizontal resolution (in pixels) </Dd> <Dd> NVR: Display's native vertical resolution (in pixels) </Dd> <Dd> CVR: Vertical resolution of the video being displayed (in pixels) </Dd> </Dl> </Dd> </Dl>

Ideal viewing distance for a 65 inch tv