SOLUTION: In parallelogram ABCD, base AD is 15 units long and base AB is 8 units long. What are the height and area of ABCD if the measure of angle DAB is 20 degrees? This is a Geometry

Algebra ->  Algebra  -> Parallelograms -> SOLUTION: In parallelogram ABCD, base AD is 15 units long and base AB is 8 units long. What are the height and area of ABCD if the measure of angle DAB is 20 degrees? This is a Geometry       Log On

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 Question 604160: In parallelogram ABCD, base AD is 15 units long and base AB is 8 units long. What are the height and area of ABCD if the measure of angle DAB is 20 degrees? This is a Geometry question, but it is labeled "Using Trigonometry". I've only ever done trigonometry with right triangles, not parallelograms. I know that the area of a parallelogram is base * height, and that the base of ABCD is 15. I'm just stumped when it comes to finding the height.Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!if the parallelogram is sitting on AB, you can draw an altitude (height) from the end of AD down to AB this forms a right triangle, with AD as the hypotenuse you know angle A, so to find the height ___ h = 8 * sin(20º)