# Thread: bearing word problem, help?

1. ## bearing word problem, help?

What its asking for is really confusing me..

A sign on a roadway at the top of a mountain indicates that for the next 4 miles the grade is 10.5 degrees. Find the change in elevation over a distance for a car descending the mountain.

2. Hello VNVeteran
Originally Posted by VNVeteran
What its asking for is really confusing me..

A sign on a roadway at the top of a mountain indicates that for the next 4 miles the grade is 10.5 degrees. Find the change in elevation over a distance for a car descending the mountain.
If the angle of the grade is $\displaystyle \theta$, then
$\displaystyle \sin\theta = \frac{\text{opposite}}{\text{hypotenuse}}$
$\displaystyle = \frac{\text{change in vertical elevation}}{\text{distance travelled down the road}}$
Can you complete it now?