Question

Как найти третью сторону треугольника если известна высота и две стороны?высота 1650 м. ВС=70 гр. ВА=75 гр. Вот в общем задача (С вертолета, что находится над шоссейной дорогой, было замечено колонну машин, которая движется по ней. Начало колонны видно под углом 75 градусов , а конец - под углом 70 градусов. Найти длину колонны, если вертолет находится на высоте 1650 м.)

Answer 1

1650-(70+75)=1505 наверное так

Answer 2

Finding the Third Side of a Triangle with Height and Two Sides

To find the length of the third side of a triangle when the height and two sides are known, we can use the Pythagorean theorem and trigonometric ratios.

Let's consider the given information: - Height (h) = 1650 m - Side AB (VA) = 75° - Side AC (VS) = 70°

To find the length of side BC (AS), we can use the trigonometric ratio of the sine function. The sine of an angle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In this case, the side opposite angle VA is the height (h), and the hypotenuse is side AS. Therefore, we can write:

sin(VA) = h / AS

Rearranging the equation, we get:

AS = h / sin(VA)

Substituting the given values, we have:

AS = 1650 / sin(75°)

To calculate the value of sin(75°), we can use a scientific calculator or an online trigonometric calculator. The value of sin(75°) is approximately 0.96592582628.

Substituting this value into the equation, we get:

AS ≈ 1650 / 0.96592582628

Calculating this expression, we find that the length of side BC (AS) is approximately 1707.10678118 meters.

Therefore, the length of the column of cars is approximately 1707.10678118 meters.

Please note that the calculations provided are approximate due to rounding.