Question 1
Use right triangle XYZ to complete the following parts.
Part A
12
XY =
30°
? Question
What is the length of XY in AXYZ?
Type the correct answer in the box. Use numerals instead of words.
units

Question 1 Use right triangle XYZ to complete the following parts Part A 12 XY 30 Question What is the length of XY in AXYZ Type the correct answer in the box U class=

Respuesta :

Answer:

XY = 6

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{XY}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 XY = 12 ( divide both sides by 2 )

XY = 6