Answer:
The length of y is 62.82 cm.
Step-by-step explanation:
We are given a right triangle with an angle 30°.
Opposite side of angle 30° is x and adjacent side is y.
Also, given length of side x=36.25 cm.
In order to find the value of y, we need to apply tangent trigonometrical ratio.
We know,
[tex]tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}[/tex]
Therefore,
[tex]tan \theta =\frac{x}{y}[/tex]
Plugging values of [tex]\theta =30^o[/tex] and x=36.25, we get
[tex]tan 30^o=\frac{36.25}{y}[/tex]
Plugging value of [tex]tan 30^o=0.577[/tex] in above equation, we get
[tex]0.577=\frac{36.25}{y}[/tex]
On multiplying both sides by y, we get
[tex]0.577\times y=\frac{36.25}{y}\times y[/tex]
0.577y=36.25
Dividing both sides by 0.577, we get
[tex]\frac{0.577y}{0.577} =\frac{36.25}{0.577}[/tex]
y=62.82
Therefore, the length of y is 62.82 cm.
