In triangle ABC, angle C is 90 degrees, AC = 1, BC = √15. Find sinB.
September 30, 2021 | education
| Let us find the hypotenuse AB according to the Pythagorean theorem (the square of the hypotenuse is equal to the sum of the squares of the legs):
AB² = AC² + BC²;
AB² = 1² + √15²;
AB² = 1 + 15;
AB² = 16;
AB = √16;
AB = 4.
The sine of the angle in a right-angled triangle is equal to the ratio of the opposite leg to the hypotenuse. This means that the sine of angle B is equal to the ratio of the opposite leg AC to the hypotenuse AB:
sin ∠ B = AC / AB = 1/4 = 0.25.
Answer: 0.25
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.