Answer:
Step-by-step explanation:
1) the triangle is a right angle triangle.
From the given right angle triangle,
With 67° as the reference angle,
x represents the adjacent side of the right angle triangle.
17 represents the opposite side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 67 = 17/x
xTan 67 = 17
x = 17/Tan 67
x = 17/2.3559
x = 7.22
2) From the given right angle triangle, with 24° as the reference angle,
x represents the opposite side of the right angle triangle.
12 represents the adjacent side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 24 = x/12
x = 12Tan 24
x = 12 × 0.4452
x = 5.34
Let
t = time, hours
h = height, feet
At 1 PM, the time and height are respectively
t₁ = 1 hour
h₁ = 4400 feet
At 4 PM, the time and height are respectively
t₂ = 4 hours
h₂ = 5600 feet
By definition, the mean hourly change in elevation is

Answer: 400 feet per hour
Answer:
Step-by-step explanation:
y = mx + b
The line y = 3 is a horizontal line with slope zero
y = 0x + 3
All parallel lines will also have a slope zero
a parallel line passing through (-2, 7) will have the equation
y = 0x + 7
y = 7
Alternate interior angles are those which are on the inside of the parallel line and are alternate to eachother.
hope this helps :)