Answer:
The correct answer is 12.446 feet.
Step-by-step explanation:
A ladder leans against a building forming an angle of 50° with the ground.
The base of the given ladder is 8 feet away from the building.
Let the length of the ladder that is to be found be x feet.
Thus we find the cosine of the angle of inclination.
∴ cos 50° =
⇒ x = 12.446 feet
Therefore the length of the ladder is 12.446 feet.
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3)
m = =
=
, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 3), then
3 = 2 + c ⇒ c = 3 - 2 = 1
y = x + 1 ← equation of line
Multiply through by 3
3y = 2x + 3 ( subtract 3y from both sides )
0 = 2x - 3y + 3 ( subtract 3 from both sides )
- 3 = 2x - 3y, that is
2x - 3y = - 3 ← in standard form