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1 answer:
The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
<h3>What is sin function?</h3>It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
As we know the sin function is represented by:
y = Asin(Bx) + C
Here,
A = The amplitude = 3
C = The vertical shift = 1
B - The period in terms of π
B = 2π/amplitude
B = 2π/4
B = π/2
The becomes:
Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
Learn more about the sin function here:
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Answer:
57.3°
Step-by-step explanation:
A 25 feet ladder leans against a building.
The ladder's base is 13.5 feet from the building.
The ladder, the wall of the building and the ground form a right-angled triangle of:
Hypotenuse = 25 feet
Base = 13.5 feet
We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)
Let's say the angle = X°
According to a trigonometric equation;
cos X° = adjacent side ÷ hypotenuse = = 0.54
= 57.5=3° (Answer rounded up to nearest one decimal place).
∴ The angle of elevation = 57.3°