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A sign of $125\text{ grams}$ is hanging from two strings that are attached to the ceiling a distance apart. There are spring scales that read the tension in the strings; however, they are covered so you cannot read the forces. Your task is to determine the unknown tensions.

You measure the angles that the strings make with the ceiling.

The string on the left makes an angle of $20\text{ degrees}$ with the ceiling.
The string on the right makes an angle of $30\text{ degrees}$ with the ceiling.

What is the reading on the two spring scales?

A

$1.41\text{ Newtons}$ is on the left.
$1.53\text{ Newtons}$ is on the right.

B

$1.55\text{ Newtons}$ is on the left.
$1.43\text{ Newtons}$ is on the right.

C

$0.625\text{ Newtons}$ is on the left.
$0.625\text{ Newtons}$ is on the right.

D

$0.482\text{ Newtons}$ is on the left.
$0.765\text{ Newtons}$ is on the right.

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