A 9m long ladder rests at 9m below a vertical wall. If the angle of elevation of the top of the wall from the foot of the ladder
1 answer:
Height of the wall is 27 m.
<u>Explanation:</u>
Let the height of the wall = h
Length of the ladder = 9 m
Angle of elevation = 60°
Ladder rests at 9 m below a vertical wall.
So, length of the wall upto which the ladder rests = h - 9
We know,
Cos Ф = base/ hypotenuse
cos 60° = length of the ladder / height of wall upto which the ladder rests
So,
h - 9 = 18
h = 27
Therefore, height of the wall is 27 m
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Answer:
y - 2 = 6 (x - 1)
Step-by-step explanation:
Slope intercept form equations look like this:
y - y1 = m (x - x1)
***m =
Using the point (1,2), we know that x1 = 1 and y1 = 2. Let's sub these values into the slope intercept equation:
y - 2 = m (x - 1)
To complete this equation, we need to find slope. Pick out another point on the graph and plug into the slope equation. We can use point (2,8), where (1,2) = Point 1 and (2,8) = Point 2.
Now that we know m = 6, let's plug that back into the original equation to get our final answer:
<u>y - 2 = 6 (x - 1) </u>
I hope this helps!