Question

проектор полностью освещает экран A высотой 80 см расположенный на расстоянии 250 см от проектора.На каком наименьшем расстоянии(в см) от проектора нужно расположить кран B высотой 160 см.Чтобы он был полностью освещен,если настройки проектора останутся неизменными? Решите пожалуйста,срочно надо...

Answer 1

пусть расстояние от проектора до крана - х см.

тогда, 80/250=160/х

80х=160*250

х=(160*250)/80

х=500

Ответ: 500 см

Answer 2

Calculating the Distance for Full Illumination

To calculate the minimum distance from the projector to position screen B with a height of 160 cm for full illumination, we can use the similar triangles principle. The ratio of the distances from the projector to screens A and B will be the same as the ratio of the heights of the screens.

Given: - Height of screen A (hA) = 80 cm - Distance from projector to screen A (dA) = 250 cm - Height of screen B (hB) = 160 cm

Using the similar triangles principle, we can calculate the distance (dB) for screen B.

Similar Triangles Principle: The ratio of the distances from the projector to screens A and B is equal to the ratio of the heights of the screens. So, dA / hA = dB / hB

Calculation

Let's calculate the distance (dB) for screen B using the given values: - hA = 80 cm - dA = 250 cm - hB = 160 cm

Using the formula: dB = (dA * hB) / hA

Substituting the given values: dB = (250 * 160) / 80 = 500 cm

Therefore, the minimum distance from the projector to position screen B with a height of 160 cm for full illumination is 500 cm.

This calculation is based on the principle of similar triangles, where the ratio of the distances from the projector to screens A and B is equal to the ratio of the heights of the screens.

I hope this helps! If you have any more questions or need further assistance, feel free to ask.