ParanormalExaminer ParanormalExaminer
  • 19-12-2019
  • Mathematics
contestada

Given: The length of side x is 89.75 cm.


To the nearest hundredth of a centimeter, what is the length of side y?

Given The length of side x is 8975 cm To the nearest hundredth of a centimeter what is the length of side y class=

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jitushashi120 jitushashi120
  • 24-12-2019

Answer:

155.45 cm

Step-by-step explanation:

Given: Length of side x (opposite)= 89.75 cm

          Angle is 30°

Lets use tangent rule to find the value of y (adjacent).

[tex]tan\theta = \frac{opposite}{adjacent}[/tex]

∴ [tex]tan 30= \frac{89.75}{y}[/tex]

Using trigonometry table

⇒ [tex]\frac{1}{\sqrt{3} } = \frac{89.75}{y}[/tex]

Now, cross multiplying both side

⇒ y= [tex]89.75\times \sqrt{3} = 155.45[/tex]

∴ 155.45 cm is the length of side y.

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