Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = 
Cosθ = 
tanθ = 
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = 
θ = 
Option (A) will be the answer.
Answer:
AB = 30 & BD = 16
Step-by-step explanation:
Multiply all sides by two
The correct answer is option B which is the graph that represents the equation y = (1/2)x will be the second option in the figure. At every value of y, the value of x is double.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the equation y =1/2x is represented in the answer below we can see in the graph that at every value of y the value of x is double for example if we put y = 1 then the value of x will be 2.
y = 1/2 x
at x = 2
y = 1/2 x 2
x = 1
Therefore the correct answer is option B which is the graph that represents the equation y = (1/2)x will be the second option in the figure. At every value of y, the value of x is double.
To know more about graphs follow
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To solve this problem you must apply the proccedure shown below:
1. You have that the ratio of the tangent function is:
tan(angle)=opposite/adjacent
2. Keeping this on mind, you have:
tan(A)=12/5
Therefore, the answer is:
tan(A)=12/5
So we know that:
City A is -96ft in elevation
City C is -24ft in elevation
City D is (1/4C)ft in elevation.
So, knowing this we can make an equation: 1/4•-24/1=-24/4=-6
So from that, we get the result of City D being -6ft in elevation, or 6ft below sea level.
