Find the leg of a right-angled triangle lying against an angle of 69 degrees if the hypothesis is c.

Since the triangle is rectangular, according to the condition of the task, it means that we can use the formulas for the ratio of the adjacent and opposite legs to the corner;

By the condition of the task, we also know the acute angle of the triangle and its hypotenuse;

Let’s remember what the sin of the angle is;

For ease of writing and explanation, let us designate an acute angle by the letter “A”, and the required leg CB, then we get;

A = 69 °;

Find the sine of a given angle;

This will be the ratio of the opposite leg to the hypotenuse.

sinA = CB / s, where “s” is the value of the hypotenuse;

Substitute the values ​​and get;

sin69 ° = CB / s;

Let us express the desired leg;

SV = sin69 ° * s.