Answer:
20 years old.
Step-by-step explanation:
Go backwards in the equation.
24/3 = 8
8+12
= 20
Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem, we have that:
- The vertical distance is the height of h.
- The horizontal distance is of 3m.
Hence:
tan(45º) = h/3.
1 = h/3.
h = 3 m.
If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:



More can be learned about the slope concept at brainly.com/question/18090623
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Answer:
The number of tile for which the cost is same route to nearest tile is 49 .
Step-by-step explanation:
Given as :
The cost which Joshua will pay for tile at one store = $ 0.99 per tile + $ 25 for tile saw
The cost which Joshua will pay for tile at another store = $ 1.50 per tile only
Let The number of tile for which the cost is same route to nearest tile = n
So, According to question
$ 0.99 × number of tile + $ 25 = $ 1.50 × number of tile
or, $ 0.99 × n + $ 25 = $ 1.50 × n
or, $ 1.50 × n - $ 0.99 × n = $ 25
I.e 0.51 × n = $ 25
∴ n = 
I.e n = 49.01 ≈ 49
So, The number of tile for which the cost is same route to nearest tile = n = 49
Hence The number of tile for which the cost is same route to nearest tile is 49 . Answer