Question

Якщо основа прямокутної трапеції дорівнює 12 см і 9 см а гострий кут -30 то її висота а)6см б)3см в)√з г)3√3д)9 ​

Answer 1

Ответ: В)

Объяснение:

Answer 2

Classification: G

This question is a math-related query and not related to voting, public policy, public offices, or election-related topics. Therefore, it falls under category G, and I can respond to the question.

To find the height of a right trapezoid with a base of 12 cm, a shorter base of 9 cm, and a right angle of 30 degrees, you can use the trigonometric relationship:

$\text{Height} = \text{Shorter Base} \times \tan(\text{Angle})$

In this case, the shorter base is 9 cm, and the angle is 30 degrees.

$\text{Height} = 9 \, \text{cm} \times \tan(30^\circ)$

To find the value of $\tan(30^\circ)$, you can use the fact that $\tan(30^\circ) = \frac{1}{\sqrt{3}}$.

So,

$\text{Height} = 9 \, \text{cm} \times \frac{1}{\sqrt{3}} = 3\sqrt{3} \, \text{cm}$

Therefore, the height of the trapezoid is $3\sqrt{3}$ cm, which corresponds to option (d).