Neondasher
Answered

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If sin f° = eight ninths and the measure of segment YW is 24 units, what is the measure of segment YX?

triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees

21 units
24 units
27 units
30 units

Sagot :

Answer:

27

Step-by-step explanation:

The measure of segment YX is 27 units, the correct option is C.

What are Trigonometric Ratios?

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

A right angled triangle is a triangle with measure of one of the angle as 90 degree.

The triangle  XYW is a right triangle, with right angle at W.

The measure of angle X is f degrees and the measure of angle Y is d degrees.

The value of the trigonometric ratio sin f = 8/9

The measure of segment YW is 24 units,

The sin of an angle is the ratio of Perpendicular to the angle and the hypotenuse of the triangle.

sin f = YW / XY

8/9 = 24 / XY

XY = 24 * 9/8

XY = 27 °

The value of YX has been determined.

To know more about Trigonometric Ratios

brainly.com/question/1201366

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