If you call 
the mass of the ant and 
the load, we have the equation
In fact, the mass of the ant is one tenth of the load, which is exactly what this equation states.
Since we are given the load, we simply need to plug its value in the equation to deduce the mass of the ant:
Given:
Miguel's height:
Actual = 5 feet 10 inches
Shadow = 4 feet 2 inches
Tower's height
Actual = x
Shadow = 8 feet 9 inches
First, we need to convert the height into inches to avoid confusion.
1 foot = 12 inches.
Miguel:
5 ft x 12in/ft = 60 inches + 10 inches = 70 inches ACTUAL
4 ft x 12in/ft = 48 inches + 2 inches = 50 inches SHADOW
Tower:
8 ft x 12in/ft = 96 inches + 9 inches = 105 inches SHADOW
Ratio of Actual to shadow:
Miguel: 70 : 50
Tower: x : 105
70 : 50 = x : 105
70*105 = 50x
7350 = 50x
7350 / 50 = x
147 = x
Actual height of the tower is 147 inches or 12 feet 3 inches long.
To check:
Miguel : 70 / 50 = 1.40
Tower : 147 / 105 = 1.40
In this question, there are numerous important information's that needed to be taken note of. It is already given that 1/12 is the commission received by the salesman on the sales price of a car.
Then
Sales commission of the salesman on the car = (1/12) * 21999
= 21999/12
= 1833.25 dollars
So the salesman receives a commission of $1833.25 on the sales of the car that was priced at $21999. I hope you have understood the method by which the problem has been solved.
Answer:
The number of years it will take for Francesca to grow 6 inches is 12 years
Step-by-step explanation:
The height to which Francesca is growing, Δh/Δt = 1/2 inch per year
The number of years, 'Δt', it will take her to grow 6 inches given as follows;
Δh/Δt = 1/2 inch/year
Δh = 1/2 inch/year × Δt
When Francesca grows 6 inches, we have;
Δh = 6 inches
∴ Δh = 6 inches = 1/2 inch/year × Δt
6 inches = 1/2 inch/year × Δt
Δt = 6 inches/(1/2 inch/year) = 12 years
The number of years it will take for Francesca to grow 6 inches, Δt = 12 years
