Answer:
The Height of the cliff is 41.5 meters tall.
Option B. 41.5 meters.
Step-by-step explanation:
Given:
AB = 85 meter
Angle of elevation ∠ C= 26°
To Find:
Cliff height = AB = ?
Solution:
In right angle Triangle ABC by tangent Identity we have
Substituting the given values we get
The Height of the cliff is 41.5 meters tall.
Answer: The graph is shown below
The solution to the system is (x,y) = (2,3)
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Explanation:
To graph , we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.
The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.
The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.
Since this system has at least one solution, we consider it a consistent system.
