## MIMI23 3 years ago PLEASE HELP ME!The sail of a boat is in the shape of a right triangle, as shown below. Which expression shows the length, in meters, of the side adjacent to the 50 degree angle?

1. MIMI23

2. MIMI23

6 sin 50 6 cot 50 6/sec50 6/cot50

3. MIMI23

Is anyone going to help me ?

4. dpflan

Sure, let me try

5. dpflan

Are you familiar with SOH CAH TOA? SOH - opposite / hypotenuse CAH - adjacent / hypotenuse TOA - opposite / adjacent

6. dpflan

You are given the angle, 50 degrees, and the length of the opposite side from the angle, which is 6m

7. MIMI23

yes

8. dpflan

Therefore, what trigonometric relation do you think you should work with, given that you want to find the length of the adjacent side for the angle

9. dpflan

Which two sides do you have work with relative to the angle 50 degrees?

10. MIMI23

im not sure

11. dpflan

All right, let's figure it out. You have 3 sides, can you identify the hypotenuse in the picture?

12. dpflan

You know that it is a right triangle, because there is a 90 degree angle at the bottom left of the triangle

13. MIMI23

the longest side

14. dpflan

Cool, which is which side? The left side, the bottom side, or the right side?

15. dpflan

In a right triangle, 90 is the large possible angle, and in triangles, the largest side is opposite the largest angle

16. MIMI23

the left ?

17. dpflan

|dw:1345139761433:dw|

18. dpflan

The left is the side that is 6m, that is the one you mean?

19. MIMI23

cb

20. dpflan

Cool, from the picture I drew, you're saying 'CB' is the hypotensue?

21. MIMI23

yeah

22. dpflan

Right on, that's it! So in the picture of the sail, the hypotenuse is the right side, just like in the drawing

23. dpflan

Now, can you tell me what the functions of angle B are in the drawing, use the line segments like you just did to identify the hypotenuse. sin(b) = ? cos(b) = ? tan(b) = ?