Answer :
Final answer:
Calculate the measure of angle A in a triangle using the Law of Cosines formula with given side lengths. Therefore the correct answer is: A)
Explanation:
"Angle" typically refers to the geometric figure formed by two rays or lines that extend from a common point. Here are some key points about angles:
Vertex: The common endpoint where the two rays meet is called the vertex of the angle.
Measure: Angles are usually measured in degrees, where a full rotation around a point is 360 degrees.
Types of Angles:
Acute Angle: An angle that measures less than 90 degrees.
Right Angle: An angle that measures exactly 90 degrees. It forms a perfect "L" shape.
Obtuse Angle: An angle that measures more than 90 degrees but less than 180 degrees.
Straight Angle: An angle that measures exactly 180 degrees. It forms a straight line.
Reflex Angle: An angle that measures greater than 180 degrees but less than 360 degrees.
Full Angle: An angle that measures exactly 360 degrees. It represents a full rotation.
The measure of angle A in triangle ABC can be calculated using the Law of Cosines formula:
Cos(A) = (b^2 + c^2 - a^2) / (2*b*c)
Plugging in the given side lengths:
Calculate Cos(A) = (15.8^2 + 25.4^2 - 17.5^2) / (2*15.8*25.4)
Find the inverse Cosine to get the angle A
The measure of angle A in triangle ABC is approximately 38.2 degrees.
