Step-by-step explanation:
To determine what the height of the ladder reaches up the wall we need to know the height of ladder which is not provided in the question.
So if I assume the height of ladder to be 10ft( just a general assumption)
Then, inclined ladder, wall and distance been the bottom of the ladder and wall will form a right angle triangle.
where height of ladder will be hypotenuse, height of the ladder reaches up the wall will be perpendicular and distance been the bottom of the ladder and wall will be base.
Since, A ladder is inclined at 23 degrees against the wall
⇒ height of the ladder reaches up the wall = Height of ladder×sin23°
= 10ft × sin23° = 3.9073 ft
Step-by-step explanation:
90 - 60 = 30
30 - 18 = 12
X=12
Answer:
The expression for the length of the rectangle is 2x + 4
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, then the expression for the length of the rectangle would be
Length = Area/ width
= (14x + 28)/7
The numerator has a common factor of 7. Therefore, if we factorize 7 out, it becomes
7(2x + 4)/7
Length = 2x + 4
The value of x in the given equation is 
From the question,
We are to solve the given equation
The given equation is

This becomes

From one of the laws of logarithms, we have that

and

∴
becomes

and


Now, subtract 6 from both sides


∴ 
Hence, the value of x in the given equation is 
Learn more on solving equations here: brainly.com/question/11802986