## Emily778 Write the ratios for sin A and cos A. The triangle is not drawn to scale. one year ago one year ago

1. Emily778

2. Emily778

3. Emily778

4. Emily778

5. Emily778

6. satellite73

using the old "opposite over hypotenuse" you get $\sin(A)=\frac{3}{5}$

7. satellite73

and using "adjacent over hypotenuse" you get $\cos(A)=\frac{4}{5}$

8. Emily778

10. Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth. The triangle is not drawn to scale. (2 points)

9. Emily778

Can you please show me step by step on how to do this?

10. satellite73

yes

11. satellite73

tangent in a right triangle is "opposite over adjacent" so you have $\tan(20)=\frac{9}{x}$

12. Emily778

Do I have to put tan on my work?

13. satellite73

solve the ratio for $$x$$ and get $x=\frac{9}{\tan(20)}$ to get the number you need a calculator

14. satellite73

yes you need tangent for this one since you have the opposite side, and you want the adjacent side

15. satellite73

to the nearest tenth it looks like $$24.7$$ http://www.wolframalpha.com/input/?i=9%2Ftan%2820%29

16. Emily778

So, do I do 9/20?

17. satellite73

talk about "not drawn to scale"!!

18. satellite73

oh no, not $$\frac{9}{20}$$ it is $$x=\frac{9}{\tan(20)}$$ to find that number you need a calculator

19. satellite73

in english "nine over the tangent of twenty"

20. Emily778

I got 24.72.

21. satellite73

me too