192k views
2 votes
What are the correct answer for x and y using the options below

What are the correct answer for x and y using the options below-example-1
User Jmvbxx
by
7.9k points

1 Answer

4 votes

ANSWER and EXPLANATION

We have the right angled triangle with one given side and one given angle.

To find x and y, we have to use trigonometric functions SOHCAHTOA.

We have that


\sin 30\text{ = }(opposite)/(hypotenuse)\text{ and cos30 = }\frac{adjacent\text{ }}{hypotenuse}

Therefore:


\begin{gathered} \sin 30\text{ = }(3)/(x) \\ \Rightarrow\text{ x = }(3)/(\sin 30) \\ x\text{ = }(3)/(0.5) \\ x\text{ = 6} \end{gathered}
\begin{gathered} \cos 30\text{ = }(y)/(x)\text{ = }(y)/(6) \\ y\text{ = 6cos30} \\ y\text{ = }6\cdot\text{ }\frac{\sqrt[]{3}}{2} \\ y\text{ = 3 }\sqrt[]{3} \end{gathered}

Those are the values of x and y.

Note: The values of sin30 and cos30 are their standard values.

User Mathew
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.