Answer:
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 64
Sample mean = 22.3
Sample standard deviation = 8.8
We want to estimate 92% confidence interval.
92% Confidence interval:
Putting the values, we get,
Degree of freedom = n - 1 = 63
Answer:
The angle of depression for the flight part is approximately 0.2604 degrees
Step-by-step explanation:
The given altitude at which the helicopter is flying = 50 meters
The horizontal distance of the helicopter from the helipad = 11 kilometers = 11,000 meters
The angle of depression = The angle of elevation = Arctan(Altitude/(Horizontal distance)
Therefore;
The angle of depression for the flight part = Arctan(50/(11,000)) ≈ 0.2604 degrees
You know how Soh Cah Toa applies to right triangles; you can assign the adjacent side = 4 and hypotenuse = 7
CosФ = (adjacent) / (hypotenuse)
Then with the Pythagorean theorem
4² + b² = 7²
16 + b² = 49
b² = 49 - 16
b² = 33
b = √(33)
So "b" is the opposite side.
SinФ = (opposite) / (hypotenuse) = √(33)/7
TanФ = (opposite) / (adjacent) = √(33)/4
11 hundredths , or 11/100
Option B. 55° is the correct answer
Step-by-step explanation:
"The sum of interior angles of a triangle is always 180°"
Given
m∠A=(3x+1)°
m∠B=(2x-1)°
m∠C = 40°
We know that
m∠A+m∠B+m∠C=180°
Putting the values of angles

Subtracting 40 from both sides

Dividing both sides by 5

We have to find Angle B,
So
m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°
Hence,
m∠B=55°
Option B. 55° is the correct answer
Keywords: Triangle, Interior angles
Learn more about triangles at:
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