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:

y= 155.45 cm

Explanation:

To solve this, we will need to use the Law of Sines

This states that:

$\frac{a}{sinA} =\frac{b}{sinB}$

Firstly, we need to find the sin of angle y. As this is a 30-60-90 right triangle, we know that the angle must be 60 degrees

Now that we have side x, the angle X, and the angle Y, we can solve for the side y using the Law of Sines

Lets plug in our known values into the equation

$\frac{89.75}{sin(30)} =\frac{y}{sin(60)}$

Next we can solve for y

$\frac{89.75sin(60)}{sin(30)} =y$

When plugged into a calculator, you get the value of 155.45 cm for side y

Answer 2

Answer:

y= 155.45 cm

Explanation:

To solve this, we will need to use the Law of Sines

This states that

Firstly, we need to find the sin of angle y. As this is a 30-60-90 right triangle, we know that the angle must be 60 degrees

Now that we have side x, the angle X, and the angle Y, we can solve for the side y using the Law of Sines

Lets plug in our known values into the equation

Next we can solve for y

When plugged into a calculator, you get the value of 155.45 cm for side y