In triangle ABC, angle C is 90 degrees BC = 20 AB = 25 find sinB.
| September 3, 2021 | education
Since the ABC triangle is rectangular, the sine of the angle is equal to the ratio of the opposite leg to the hypotenuse.
SinABS = AC / AB.
AB = 25 cm on condition.
We define the leg AB by the Pythagorean theorem.
AC ^ 2 = AB ^ 2 – BC ^ 2 = 25 ^ 2 – 20 ^ 2 = 625 – 400 = 225.
AC = √225 = 15 cm.
Then SinABC = 15/25 = 3/5 = 0.6.
Answer: SinABC = 0.6.
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