A child lies on the ground and looks up at the top of a 17-ft tree nearby. The child is 14 ft away from the tree. What is the angle of elevation from the child to the top of the tree Round to the near?

To find the angle of elevation from the child to the top of the tree, we can use the tangent function in trigonometry. The height of the tree is 17 ft, and the distance from the child to the tree is 14 ft. The angle of elevation ( \theta ) can be found using the formula ( \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{17}{14} ). Calculating this, we find ( \theta \approx 51.3^\circ ), which rounds to approximately 51 degrees.