2007-01-15 07:30:12 · 4 answers · asked by Douglas G 1 in Science & Mathematics ➔ Engineering
I reckon 4.2426 ft.
I used Pythagoras' theory...a right angled triangle with 1x 90 and 2 x 45 degree angles
The height and length both need to be 3ft,
so length of legs (the hypontenuse) will be the square root of 3 squared plus 3 squared - thus the square root of 18.
Is that correct?
2007-01-15 07:38:14 · answer #1 · answered by chip2001 7 · 1⤊ 0⤋
Using the equation for a right angle triangle, that the cosine of an angle is the equal to the length of the adjacent line divided by the length of the hypotenuse (CAH). It follows that the length of the hypotenuse must be the length of the adjacent line divided by the Cosine of the angle.
For a table height of 3ft with the support legs angled at 45degree, the length of the leg is the hypotenuse, which is approximately 4.24 ft.
2007-01-18 10:07:12 · answer #2 · answered by Yeuris C 1 · 0⤊ 0⤋
Let length of legs be h ft
cos 45° = 3/h
h cos45° = 3
h = 3 / cos 45° = 4.242 ft = 4ft 3ins
2007-01-16 14:38:41 · answer #3 · answered by Como 7 · 0⤊ 0⤋
3*square-root(2)
2007-01-15 15:34:48 · answer #4 · answered by Anonymous · 2⤊ 0⤋