How to find a leg knowing the hypotenuse and the acute angle of a right-angled triangle along
| September 21, 2021 | education
How to find a leg knowing the hypotenuse and the acute angle of a right-angled triangle along leg 12 and its opposite corner 42.
From the school geometry course, we know that we can calculate the sine of an angle if we divide the leg, which is opposite this very angle, by the hypotenuse.
Let us find out what value the length of the hypotenuse will correspond to, when it is precisely known from the condition of our problem that the length of the leg is 12, but the angle that lies opposite it is 42 °:
The sine of the specified angle according to the sine table is 0.6691;
12: 0.6691 ≈ 17.93.
Answer: Under these initial conditions, the length of the hypotenuse will be 17.93.
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.
