The four cprners of the rhombus are labelled A, B, C, D starting from the bottom left corner. AB is 9cm and AD is 9cm. If you make a straight line down from point B creates a right angle. The straight line is h the height of the rhomus. Angle BAD = 55 degress. Whta is the lenght h?
2007-01-29 00:55:28 · 5 answers · asked by Sanam K 1 in Science & Mathematics ➔ Mathematics
cos 62.5 = h/9
sin 27.5 = h/9
in either case, h/2 = 4.155 and h = 8.31cm
2007-01-29 01:08:27 · answer #1 · answered by davidosterberg1 6 · 0⤊ 0⤋
This works in general. The tangent of an acute angle on the rhombus is always the height divided by one of the sides. Verify this for yourself, then use it.
Edit: I meant the sine, not the tangent.
2007-01-29 01:04:55 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Very easy, my dear! Sin 55 deg = h/9, therefore, h = 9 * sin 55 = 7.37, which should be correct for 2 points. Thank u very much!
2007-01-29 01:15:22 · answer #3 · answered by Paleologus 3 · 0⤊ 0⤋
h = AB sin (55degrees) = 9 *0.8192 =7.37 cm.
Please draw the diagram to understand.
2007-01-29 01:40:31 · answer #4 · answered by Anonymous · 0⤊ 0⤋
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2007-01-29 01:42:41 · answer #5 · answered by anubhav2k 2 · 0⤊ 0⤋