Respuesta :
Answer:
Based on the assumption that the angle of the triangle at the cave entrance is a right angle, the angle Devora turned before walking to the treasure chest is approximately 57 degrees.
Step-by-step explanation:
A sketch of the triangle formed is attached where E is the entrance of the cave, C is the treasure chest and T is the treasure itself.
Using the cosine trigonometric ratio, we have that
[tex]\cos \theta = \frac{484848}{898989} = 0.5393[/tex]
Finding the arccosine of 0.5393 gives [tex]57.36^0[/tex]
