In triangle ABC we find the hypotenuse AB.
It is known:
Angle C is 90 °;
sin A = 0.3;
AC = 6.
In order to find the hypotenuse AB of the triangle ABC, we use the formula:
cos A = AC / AB.
Hence, AB = AC / cos a;
Find cos a if the value of sin a is known.
cos a = √ (1 – sin ^ 2 a) = √ (1 – 0.3 ^ 2) = √ (1 – 0.09) = √0.81 = 0.9;
Substitute the known values into the formula and find the hypotenuse AB.
AB = 6 / 0.9 = 6 / (9/10) = 6 * 10/9 = 2 * 10/3 = 20/3;
Answer: AB = 20/3.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.