Question

Joseph's math teacher challenges him to estimate the height of a pine tree next to the school. Joseph walks 9.9 meters from the base of the trunk, lies on his belly, and measures a 45° angle of elevation to the top of the tree. Do you think Joseph has enough information to estimate the height of the tree?

a) Yes, there is enough information.
b) No, there is not enough information.
c) The angle of elevation is irrelevant.
d) The distance from the base is insufficient.

Answer 1

Joseph does not have enough information to estimate the height of the tree.

Step-by-step explanation:

No, Joseph does not have enough information to estimate the height of the tree. In order to estimate the height of the tree, Joseph would need to know the distance from his eyes to the ground while lying on his belly. The angle of elevation alone is not sufficient to make an accurate estimation. Additional information, such as the distance from the ground to Joseph's eyes, would be needed for a more accurate estimate.