Lisa is $800$ meters from the base of a mountain. From where she stands, she measures the angle of elevation to the peak of the mountain to be $38^\circ$. She then walks to the base of the mountain and measures the new angle of elevation, this time getting $49^\circ$.
**How far is Lisa from the peak of the mountain when she is standing at its base? **
*Do not round during your calculations. Round your final answer to the nearest meter.*
[[☃ numeric-input 1]]$\text{ m}$
![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe2bf14325d1f318f0b6d4b1275cd37eb17a3d23)