Question

The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-screen tv is 8:15. find expressions for the width and height of a wide-screen tv in terms of the length of its diagonal.\

Answer 1

The diagonal of the tv screen is given by:
 d = root ((w) ^ 2 + (h) ^ 2)
 Where,
 w: width
 h: height
 In addition we have the following relationship:
 h / w = 8/15
 Thus,
 For the width:
 d = root ((w) ^ 2 + ((8/15) w) ^ 2)
 For the high:
 d = root (((15/8) h) ^ 2 + (h) ^ 2)
 Answer:
 The expressions for the width and height of a wide-screen tv in terms of the length of its diagonal are:
 d = root ((w) ^ 2 + ((8/15) w) ^ 2)
 d = root (((15/8) h) ^ 2 + (h) ^ 2)