Question

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

Answer 1

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.