Question

Смежные стороны параллелограма равны 4,8 м и 5,9 м,а его острый угол равен 30⁰. Найдите площадь параллелограма. Нужно именно решение а не просо ответ

Answer 1

Ответ:

14.16 м кв

Объяснение:

по формуле площади паралелогрмма

S=4.8*5.9*sin30°=14.16

Answer 2

Given Information

We are given the following information about the parallelogram: - The lengths of the adjacent sides are 4.8 m and 5.9 m. - The acute angle of the parallelogram is 30 degrees.

Solution

To find the area of the parallelogram, we can use the formula: Area = base × height.

In a parallelogram, the base is the length of one of the adjacent sides, and the height is the perpendicular distance between the base and the opposite side.

To find the height, we can use the formula: height = base × sin(angle).

Let's calculate the height first.

Calculating the Height

Given: - Base = 4.8 m - Angle = 30 degrees

Using the formula height = base × sin(angle), we can calculate the height as follows:

height = 4.8 m × sin(30 degrees)

Using a calculator, we find that sin(30 degrees) = 0.5.

Substituting the values, we get:

height = 4.8 m × 0.5 = 2.4 m

So, the height of the parallelogram is 2.4 m.

Calculating the Area

Now that we have the base and the height, we can calculate the area of the parallelogram using the formula Area = base × height.

Given: - Base = 4.8 m - Height = 2.4 m

Substituting the values, we get:

Area = 4.8 m × 2.4 m = 11.52 square meters

Therefore, the area of the parallelogram is 11.52 square meters.