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Complete Question
A twelve-foot ladder is leaning against a wall. If the ladder reaches eight ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*
Answer:
42°
Step-by-step explanation:
From the question, the diagram that is formed is a right angle triangle.
To solve for this, we would be using the trigonometric function of Sine.
sin θ = Opposite side/ Hypotenuse
From the question, we are told that:
12 foot ladder is leaning against a wall = Hypotenuse
The ladder reaches 8ft high on the wall = Opposite side.
Hence,
sin θ = 8ft/12ft
θ = arc sin (8ft/12ft)
= 41.810314896
Approximately to the nearest degree
θ = 42°
Therefore, the angle the ladder forms with the ground to the nearest degree is 42°
Is there any guide or institutions on how to do it?
Answer:
The expression would be 8w
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
(1)
Here m = 6 and b = - 2, then
y = 6x - 2
(2)
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Here m = - 2 and b = 5, then
y = - 2x + 5 ← equation in slope- intercept form
Add 2x to both sides
2x + y = 5 ← equation in standard form
(3)
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (6, - 13) and (x₂, y₂ ) = (- 4, - 3)
m = = = - 1 , then
y = - x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 4, - 3 ) , then
- 3 = 4 + b ⇒ b = - 3 - 4 = - 7
y = - x - 7 ← equation in slope- intercept form
Add x to both sides
x + y = - 7 ← equation in standard form