Question

Find x. See attached picture.

Answer 1

The value of x will be equal to 4√6. The correct option is B.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

The value of side x will be calculated by using the angle properties.

SIn( 45 ) = P / H

Sin (45) = 12 / H

H = 12 / ( 1 / √2) = 12√2

Again using the angle property for finding the value of x.

tan30 = P / B

x = tan30 x B

x = ( 1 / √3 ) x 12√2

x = 4√6

Therefore, the value of x will be equal to 4√6. The correct option is B.

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