Question

в прямоугольной трапеции основания равны 6 см и 11 см, меньшая боковая сторона равна 4 см. Найдите синус косинус и тангес острого угла трапеции

Answer 1

1) проведем СН - высоту

рассмотрим СНД - прямоуг , НД=11 -6=5см СН=АВ=4см

по тПиф находим СД   СД=sqrt(5^2+4^2)=sqrt41cm (корень из 41)

sinD=CH / CD = 4 / sqrt41

cosD=HD/CD= 5/sqrt41

tgD= CH /HD= 4/5

Answer 2

Given Information

We are given the following information about a trapezoid: - Length of the larger base: 11 cm - Length of the smaller base: 6 cm - Length of one of the smaller sides: 4 cm

Calculating the Height of the Trapezoid

To find the height of the trapezoid, we can use the Pythagorean theorem. Let's denote the height as 'h'. We have a right triangle formed by the height, the smaller side (4 cm), and the difference in lengths of the bases (11 cm - 6 cm = 5 cm).

Using the Pythagorean theorem, we have: h^2 = 4^2 - 5^2

Simplifying the equation: h^2 = 16 - 25 h^2 = -9

Since the square of a real number cannot be negative, we can conclude that there is no real solution for the height of the trapezoid. However, if we assume that the trapezoid is an isosceles trapezoid (where the legs are equal in length), we can proceed with the calculations.

Calculating the Sine, Cosine, and Tangent of an Angle in the Trapezoid

Let's assume that the trapezoid is an isosceles trapezoid. In an isosceles trapezoid, the legs are equal in length. Therefore, the length of the other smaller side is also 4 cm.

To find the sine, cosine, and tangent of an angle in the trapezoid, we need to know which angle we are referring to. Please specify the angle you would like to calculate the trigonometric functions for, and I will provide the calculations accordingly.