Final answer:
In the right triangle, the unknown angle A is 67°, the side A is approx. 6.6 and the side B is approx. 16.3. Used the rules of triangle angles, the Sine Rule, and the Pythagorean theorem to solve.
Step-by-step explanation:
This question is a bout a right triangle where you are given one angle (B = 23°) and the length of one side (C = 17). We know that in any triangle, the sum of all three angles is 180°. Since you know this is a right triangle, one of the angles is 90°. So, you can find angle A by subtracting the known angles from 180°: A = 180° - 90° - 23° = 67°.
The Sine Rule can be used to find unknown side lengths in any triangle. The rule states that the ratio of the length of a side of a triangle to the sine of its opposite angle is the same for all three sides. Applying this rule gives us the length of side A: A = C * sin(B) = 17 * sin(23°) expected to value with 1 decimal point around 6.6.
Now for the length of side B, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of squares of the other two sides - then B = sqrt(abs(C² - A²)), then B expected to value with 1 decimal point around 16.3.
Learn more about Solving Right Triangles