Question

Найти катет прямого угла если гипотенуза равна 46 см,а один из острых углов равен 60 градусов

Answer 1

90-60=30гр. 
катет лежащий напротив угла в 30гр = 1/2 гип 
значит 46:2=23см

Answer 2

Finding the Length of the Cathetus

To find the length of the cathetus (one of the sides) of a right-angled triangle when the hypotenuse is 46 cm and one of the acute angles is 60 degrees, we can use trigonometric functions.

First, let's identify the known values: - Hypotenuse (c) = 46 cm - One acute angle (A) = 60 degrees

We can use the trigonometric function sine to find the length of the cathetus (a) using the given angle and the hypotenuse: a = c * sin(A)

Substituting the given values: a = 46 * sin(60)

Using the trigonometric function sine of 60 degrees, we can calculate the length of the cathetus (a).

The length of the cathetus (a) is approximately 39.6 cm.

Cited Sources

1. Source Snippet: "c = \sqrt{a^2 + b^2}" 2. Source Snippet: "a = \sqrt{c^2 - b^2}" 3. Source Snippet: "b = \sqrt{c^2 - a^2}"

These calculations are based on the trigonometric relationships between the sides of a right-angled triangle.