Do this and then simplify the result
Answer:
16 ft
Step-by-step explanation:
Let the width of the rectangle be x ft
Therefore, length = (x + 2) ft
Area of the rectangle = 15 square ft

The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
<h3>How to determine the
length of the
ladder?</h3>
The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
Read more about right triangles at:
brainly.com/question/2437195
Answer:
<em>k = - 7.5 </em>
Step-by-step explanation:
Slope "m" of a line through points
(
,
)
(
,
)
is m =
Slopes of perpendicular lines are opposite reciprocal:
= - 1
~~~~~~~~~~~~~~~
The slope of a line through points (0, 7) and (2, 10)
=
=
Slope of perpendicular line through points (3, 5) and (k, 12) is
=
or
=
=
2(k - 3) = - 21
k - 3 = - 10.5
<em>k = - 7.5</em>