Answer:
Height of the awning = 9.52 feet
Step-by-step explanation:
For better understanding of the solution, see the attached diagram of the problem :
According to the figure, AB is the height of the awning
Now, the base of awning will be perpendicular to the building
⇒ m∠ABC = 90°
In ΔABC, By using angle sum property of a triangle
m∠ABC + m∠ACB + m∠BAC = 180°
⇒ m∠ACB = 50°

Hence, Height of the awning = 9.52 feet
Given:
A certain function h(x) contains the point (8,-2).
To find:
The value of
.
Solution:
If a function is defined as

Then, its inverse is defined as

It is given that, a certain function h(x) contains the point (8,-2). It means, its inverse
contains the point (-2,8). So, the value of inverse function is 8 at x=-2, i.e.,

Therefore, the value of
is 8.