Final answer:
To find the angle of elevation from Jocelyn's point of view to the top of a tree, we use the tangent function with the opposite side being the difference in heights (4m) and the adjacent side being the distance from the tree (8m), resulting in an angle of approximately 26.57 degrees.
Step-by-step explanation:
The student is asking how to find the angle from Jocelyn's point of view to the top of a tree that is 5 meters tall, given that Jocelyn is 1 meter tall and standing 8 meters away from the tree. We can solve this using trigonometry, specifically the tangent function, which relates the angle of interest to the opposite side and the adjacent side in a right triangle. In this scenario, the opposite side is the difference in height between Jocelyn and the tree (4 meters, since 5m - 1m = 4m), and the adjacent side is the distance between Jocelyn and the tree (8 meters).
To find the angle θ, we can use the formula:
tan(θ) = opposite/adjacent
tan(θ) = 4m/8m
θ = arctan(0.5)
Using a calculator, we find that θ is approximately 26.57 degrees.