Question

Given: The length of side x is 89.75 cm.

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

Answer 1

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.