Question

З однієї точки до прямої проведені дві похилі, які дорівнюють 10см і 8см. Порівняйте проекції цих похилих.​

Answer 1

Ответ:

Объяснение:

Маємо точку  А∉α ;  АО⊥α ; АВ = 10 см ,  АС = 8 см .

ОВ - проєкція похилої АВ ,  ОС -  проєкція похилої АС , тоді

ОВ > OC . У більшої похилої - більша проєкція .

Answer 2

Comparison of the Projections of Two Inclined Lines

When comparing the projections of two inclined lines, we need to consider their lengths and angles of inclination. In this case, we have two inclined lines with lengths of 10 cm and 8 cm. Let's compare their projections.

The projections of inclined lines can be divided into two types: horizontal projection and vertical projection.

Horizontal Projection: The horizontal projection of an inclined line is the length of the line projected onto the horizontal plane. It represents the distance covered by the line in the horizontal direction.

For the first inclined line with a length of 10 cm, the horizontal projection can be calculated using the formula: Horizontal Projection = Length of Line * Cosine of Angle of Inclination.

For the second inclined line with a length of 8 cm, the horizontal projection can be calculated in the same way.

Vertical Projection: The vertical projection of an inclined line is the length of the line projected onto the vertical plane. It represents the distance covered by the line in the vertical direction.

For the first inclined line with a length of 10 cm, the vertical projection can be calculated using the formula: Vertical Projection = Length of Line * Sine of Angle of Inclination.

For the second inclined line with a length of 8 cm, the vertical projection can be calculated in the same way.

By comparing the horizontal and vertical projections of the two inclined lines, we can determine their relative positions and angles of inclination.

Please note that the specific angles of inclination for the two inclined lines were not provided in the question. If you have the angles, please provide them so that we can calculate the projections accurately.