can u explain the steps to solve this problem::
a rectangle is 14 cm wide and 48 cm long. find the measure of the acute angle between its diagonals.
2007-04-25 10:55:50 · 2 answers · asked by alwayz_romy 2 in Science & Mathematics ➔ Mathematics
hey cattbarf hhow did u get a 14,24,25 ttriangle?
2007-04-25 11:08:26 · update #1
Stand it vertically, Let x be the acute angle, and z be a base angle. Tan z = 48/14 look up z, then x=180-2z.
2007-04-25 11:03:53 · answer #1 · answered by Anonymous · 0⤊ 0⤋
The diagionals intersect at the center of the rectangle with respect to to two dimensions, so the diagionals form an isoceles triangle with a base of 14, an altitude of 24 and sides of 25 (7/24/25 right triangle). The altitude bisects the angle desired, and the half angle has a sin of 7/25th.
2007-04-25 18:04:38 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋