Answer:
The base of the ladder has a length of 8 ft.
Step-by-step explanation:
We have to draw a triangle, as the figure attached.
The hypothenuse of the triangle is the length of the ladder (17 ft).
The height on the wall that the ladder reach is the adjacent (15 ft).
The base of the ladder is our unknown quantity X.
We will use the Pythagorean theorem to express the relation between these numbers:
The base of the ladder has a length of 8 ft.
Answer:
see below
Step-by-step explanation:
given function:
Cosine - (In a right triangle, the ratio of the length of the adjacent side to the length of the hypotenuse.)
#1: Take the inverse cosine of both sides of the equation to extract from inside the cosine.
#2: Evaluate
#3: The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from π to find the solution in the fourth quadrant.
#4: Simplify the equation above.
- Multiply by
- Subtract from
#5: Find the period.
- The period of the function can be calculated using .
- Replace with
in the formula for period.
#6: Solve the equation.
- The absolute value is the distance between a number and zero. The distance between and
is
.
- Divide by
The period of the function is
so values will repeat every
radians in both directions.
, for any integer
Answer:
x- intercept = - 4
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 )
Here m = - and c = - 2 , then
y = - x - 2 ← equation of line
To find the x- intercept let y = 0
0 = - x - 2 ( add 2 to both sides )
2 = - x ( multiply both sides by - 2 to clear the fraction )
- 4 = x
The x- intercept is - 4