6. Viola drives 200 meters up a hill that makes an angle of 9° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered? (1 point)
1,262.8 m
200.4 m
197.5 m
31.3 m

Question

6.   Viola drives 200 meters up a hill that makes an angle of 9° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?  (1 point)
1,262.8 m
200.4 m
197.5 m
31.3 m

terenzreignz · Answer

Sorry, I was occupied.  Let's draw a diagram, shall we?
|dw:1361884948747:dw|
We have an angle and the hypotenuse, we're looking for the horizontal distance, which is adjacent to your angle.
Which of these three functions (sin, cos, tan)
relates the hypotenuse with the adjacent side?

anonymous · Answer

Basically you need to draw a diagram, so start by drawing the horizontal and then draw the next line at an angle of 9° going up from it

anonymous · Answer

label this with 200m. then in you draw a line down on the right, you should get a right angled triangle.

anonymous · Answer

Okay with that I used sin(9)200 and I got 31.28 witch would round to 31.3 witch is one of the choices

terenzreignz · Answer

But sin relates the OPPOSITE side with the hypotenuse, and we're looking for the adjacent side.

anonymous · Answer

You are trying to find the length of the bottom line so you can use reverse cosine

anonymous · Answer

so it would be cosin?

terenzreignz · Answer

Yep.  Use cosine.  IF it were the height that Viola traveled instead of the horizontal distance, then you would have used sine.

anonymous · Answer

okay. I see now well in that case I got 197.53 witch would be 197.5m

terenzreignz · Answer

Remember this...
|dw:1361885249977:dw|

anonymous · Answer

okay now i get it, and not really my teacher didn't have it like that but I can.

terenzreignz · Answer

Note that if the angle in question were the other one...
|dw:1361885347660:dw|

anonymous · Answer

okay.