Solving for the Area of a Parallelogram with Given Angles and Heights - советы от нейросети

Острый угол параллелограмма равен , а высоты, проведенные из вершины тупого угла равны и . Найдите площадь параллелограмма.

The area of a parallelogram can be found by multiplying the length of the base by the height. In this case, since the base is not given, we will use the formula: Area = base*height*sin(). Let's label the given acute angle as x, and its corresponding height as h. We can then set up the equation:
area = h*x*sin(x).
Now, using the given information (acute angle = x, height = h), we can plug in the values:
area = (h)(x)(sin(x)) = (1/2)(30)(10)(sin(30)) = 150*sin(30) = 75.
Therefore, the area of the parallelogram is 75 units squared.