Jada is standing 10 feet away 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.

14.3 feet

Step-by-step explanation:

Let the height of the tree = x feet.

It is given that the horizontal distance from the base of tree = 10 feet and the angle of elevation to the nest is 55°.

So, we get the following figure.

As, we are obtaining a right angled triangle.

Using the trigonometric form for the angles of a right angled triangle, we get,

i.e.

i.e.

i.e.

i.e.

Hence, the height of the tree is 14.3 feet.