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A triangular brace has an angle measure of 30 degrees, with a side opposite
this angle measuring 8 inches. The base of the triangular brace, which is
adjacent to the given angle measure, is 6 inches in length. Which of the
following statements is correct?
A. The angle opposite the side measuring 6 inches has one solution
of approximately 28 degrees.
B. The angle opposite the side measuring 6 inches has two solutions
of approximately 28 degrees and 36 degrees.
O C. The angle opposite the side measuring 6 inches has one solution
of approximately 22 degrees.
D. There is not a solution for the angle opposite the side measuring 6
inches.

Sagot :

raphealnwobi

The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.

Sine rule

Sine rule is used to show the relationship between the angles of a triangle and the sides opposite to the angles. It is given by:

a / sin(A) = b / sin(B) = c / sin (C)

where A, B, C are the angles and a, b, c are the sides opposite to the angles.

From the question:

let a = 8 in, A = 30°, b = 6 in, hence:

a / sin(A) = b / sin(B)

8 / sin(30) = 6 / sin(B)

B = 22°

The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.

Find out more o Sine rule at: https://brainly.com/question/4372174

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