Question

Line segment YV of rectangle YVWX measures 24 units. Rectangle Y V W X is shown. A diagonal is drawn from point X to point V. The lengths of sides Y V and X W are 24 units. The angle of V X W is 30 degrees, the angle of X W V is 90 degrees, and the angle of X V W is 60 degrees. What is the length of line segment YX? 8 units 8 StartRoot 3 EndRoot units 12 units 12 StartRoot 3 EndRoot units

Answer 1

Answer:

The correct answer would be 8 root symbol 3

Step-by-step explanation:

because i chose it and got it right

Answer 2

The length of the line segment YX is $8\sqrt{3}$ if the line XW is of 24 units.

What is a trigonometric function?

It is a ratio of sides of a right angled triangle.

How to use Trigonometric functions?

It can be seen that the diagonal is making a right angle triangle XWV so

we will use the trigonometric function to determine the value of WV which will then be equal to XY because it is a rectangle.

tan(30)=VW/XW

1/$\sqrt{3}$=VW/24

VW=24/$\sqrt{3}$

VW=8$\sqrt{3}$ UNITS by multiplying and divide by root 3.

Hence the length of the side XY =8 root 3 units.

Learn more about trigonometric functions at https://brainly.com/question/24349828

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