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.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation: