You are designing a concave mirror to project text onto a screen. The text consists of letters 6.00 mm tall, and the image of the letters should be 36.0 cm tall. The screen must be 8.00 m from the vertex of the mirror. How far from the vertex of the mirror should the text be placed, and what should the radius of the mirror be? You are designing a concave mirror to project text onto a screen. The text consists of letters 6.00 mm tall, and the image of the letters should be 36.0 cm tall. The screen must be 8.00 m from the vertex of the mirror. How far from the vertex of the mirror should the text be placed, and what should the radius of the mirror be? Solution here, the object height , ho = 6 mm = 0.6 cm the image height , hi = 36 cm the image distance , di = 800 cm the object distance , do = di * ( ho/hi) do = 800 * ( 0.6/36) cm do = 13.3 cm let the focal length be f using the lens formula 1/f = 1/di + 1/do 1/f = 1/13.3 + 1/800 f = 13.1 cm the radius of the mirror , r = 2*f = 26.2 cm .