Solve for x. Round to the nearest tenth.
7 side of triangle
64 degree. Degrees of angle
Answers
A. 12
B. 14.4
C. 15.0
To solve for x, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the opposite angle is equal for all sides and their corresponding angles in the triangle.
So, we can set up the proportion:
7 / sin(64) = x / sin(90)
Since sin(90) is equal to 1, we can simplify the equation:
7 / sin(64) = x / 1
To solve for x, we can cross multiply:
x = 7 * sin(90) / sin(64)
x ≈ 7 * 1 / 0.8988
x ≈ 7.7807
Rounding to the nearest tenth, x ≈ 7.8
Therefore, the correct answer is not given.