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

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).

$tan\theta = \frac{opposite}{adjacent}$

∴ $tan 30= \frac{89.75}{y}$

Using trigonometry table

⇒ $\frac{1}{\sqrt{3} } = \frac{89.75}{y}$

Now, cross multiplying both side

⇒ y= $89.75\times \sqrt{3} = 155.45$

∴ 155.45 cm is the length of side y.