JoeleenT226651 JoeleenT226651
  • 03-11-2022
  • Mathematics
contestada

what is the value of y in the triangle at the right? (sorry the picture is a little blurry)

what is the value of y in the triangle at the right sorry the picture is a little blurry class=

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VeralynnY751856 VeralynnY751856
  • 03-11-2022

Answer:

To find the length y from the given right anled triangle.

Since the given triangle is right anled triangle,

we have the following,

[tex]\sin \theta=\frac{opposite\text{ side}}{hypotenuse}[/tex]

Let,

hypotenuse =14

opposite side=y

Substitute the values we get,

[tex]\sin 30\degree=\frac{y}{14}[/tex]

we know that, sin 30=1/2

Using this we get,

[tex]\frac{1}{2}=\frac{y}{14}[/tex][tex]y=\frac{14}{2}[/tex][tex]y=7[/tex]

Answer is: option D: 7

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