Question

Jada is standing 10 feet from the base of the tree and spots a nest sitting on a branch. the angle of elevation from the ground where she is standing to the nest is 55 degrees . find the height of the nest

Answer 1

Answer:

h = (10 ft)(1.428) = 14.28 ft

Step-by-step explanation:

Represent the height of the nest by h.  This is the vertical side of a triangle.  The horizontal side is 10 ft.

The following relationship is true:

tan 55 degrees = (opposite side) / (adjacent side), and in this case,

tan 55 degrees = h / 10 ft, so that:

h = height of nest = (10 ft)(tan 55 degrees), or

h = (10 ft)(1.428) = 14.28 ft