What is the length of the y-component of the vector shown below? a. 2.7 b. 16.8 c. 9.2 d. 106.8

Answer

The correct answer is B

Explanation

The y-component of the vector is opposite to the given angle which is . See diagram.

The hypotenuse, which is the magnitude of the vector is units.

The y-component of the vector can be found using the sine ratio.

Recall that the mnemonics for the sine ratio is SOH which means

This implies that,

We multiply both sides by 17 to get,

This gives us

We evaluate to get,

The y-component of the vector is to the nearest tenth.

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