Explanation:
The function is
To graph the function, let us find the x and y intercepts.
To find x-intercept, let us substitute y=0 in the function
Thus, the x-intercept is
To find the y-intercept, let us substitute x=0, we get,
Thus, the y-intercept is
The graph has no asymptotes.
To plot the points in the graph, we need to substitute the values for x in the function , to find the y-values.
The points are . The image of the graph and table is attached below:
Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets
