Question

Отрезок LN-высота прямоугольного треугольника KLM. Найдите LM, если угол К=30 градусов, NM=8Пожалуйста срочно!!

Answer 1

x=2*8=16 . (использовалось свойство sin30=1/2)

Answer 2

Finding the Length of LM in Right Triangle KLM

To find the length of LM in right triangle KLM, we can use trigonometric functions since we know the angle K and the length of NM.

Given: - Angle K = 30 degrees - Length NM = 8

We can use the trigonometric function tangent (tan) to find the length of LM. The tangent of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

Using the formula: tan(K) = LM / NM

We can rearrange the formula to solve for LM: LM = tan(K) * NM

Now, let's calculate the length of LM using the given values.

Calculation

Using the given values: - Angle K = 30 degrees - Length NM = 8

We can calculate the length of LM as follows: LM = tan(30) * 8

Result

Using a calculator or trigonometric table, we find that: tan(30) ≈ 0.5774

Substituting this value into the formula: LM ≈ 0.5774 * 8 ≈ 4.6192

So, the length of LM is approximately 4.6192 units.