The solution wouldbe like this for this specific problem:
sin(67.5) = sin(135/2)
sin(x/2) = +/- √((1 - cos(x))/√2
sin(67.5) = √(1 - cos(135))/√2 = √(1 + √2/2)/√2 = √(√2/4 + 1/2) = 0.9239
I am hoping thatthis answer has satisfied your query and it will be able to help you in yourendeavor, and if you would like, feel free to ask another question.
Answer:.The domain and range of a function are the sets of possible input and output values-My answer :D
Step-by-step explanation:
.The domain and range of a function are the sets of possible input and output values-My answer :D
I’ll try to help you with that. The domain of a function is the set of all possible input values for the function, while the range is the set of all possible output values. Unfortunately, I don’t have access to the graph you’re referring to. However, I can provide you with some general information on how to find the domain and range of a function.
To find the domain of a function, you need to determine all possible values of x that can be used as input to the function, which will result in a real number as the output 12. The range of a function is the set of all possible output values of a function 34.
I hope this helps <3
Answer:
0.57142857142
Step-by-step explanation:
Use a calculator.
Answer:
61.5
Step-by-step explanation:
In this case to calculate the height, we do the following:
The first is the graphic, attached image.
Then the calculations.
b / d = tan (42 °) = 0.9
d = b / 0.9
Then we have to:
(40 + b) / d = tan (56 °) = 1.48
(40 + b) = d * 1.48
Replacing we have:
(40 + b) = (b / 0.9) * 1.48
40 + b = 1.65 * b
1.65 * b - b = 40
b = 40 / 0.65
b = 61.5
Therefore the height is approximately 61.5
Using the tangent function of trigonometry for the two given angles, we can set up two equations. We solve these equations by substituting the fabricate distance from one into the other, providing the height of the building.
To find the height of the building, we'll use the tangent function of trigonometry. In this case, the tangent of an angle in a right triangle is defined as the opposite side divided by the adjacent side. Therefore, we create two equations using the two provided angles and the respective opposite sides (antenna and building + antenna), as we know the distances are proportional to the tangent of their angles when the adjacent side (distance from the point on the ground to the building) is the same.
We can solve this system of equations by substitution. Since tan(42 degrees) = 40 feet / Distance from the building, it means the Distance from the building = 40 feet / tan(42 degrees). Plugging the Distance into equation 1 and solving for Height of building, we get: Height of building = tan(56 degrees) * Distance from building - 40 feet = tan(56 degrees) * (40 feet / tan(42 degrees)) - 40 feet. This gives us the height of the building.
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