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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 89.75 cm. To the nearest hundredth of a centimeter-example-1

1 Answer

5 votes

Answer:

155.45 cm

Explanation:

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

Angle is 30°

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


tan\theta = (opposite)/(adjacent)


tan 30= (89.75)/(y)

Using trigonometry table


(1)/(√(3) ) = (89.75)/(y)

Now, cross multiplying both side

⇒ y=
89.75* √(3) = 155.45

155.45 cm is the length of side y.

User Jasper Mogg
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