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musickatia [10]
2 years ago
5

Calculate the value of 0. Write your equation.

Mathematics
2 answers:
Crazy boy [7]2 years ago
3 0

Answer:

θ = 67.4°

Step-by-step explanation:

using the <u>SOHCAHTOA </u>method,

Here opposite is 12 cm, hypotenuse is 13 cm, adjacent is 5 cm.

Using the formula:

sin(\beta ) =  \frac{oppsoite }{hypotenuse}

sin(\beta ) =  \frac{12}{13}

\beta  = sin^{-1}(\frac{12}{13}  )

β = 67.4°

sweet [91]2 years ago
3 0

Right angle triangle so apply trigonometric identies.

\\ \tt\hookrightarrow cos\theta=\dfrac{5}{13}

\\ \tt\hookrightarrow cos\theta=0.37

\\ \tt\hookrightarrow \theta=cos^{-1}(0.37)

\\ \tt\hookrightarrow \theta=68.3

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A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel
frutty [35]

Answer:

The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet

Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

c = The phase shift = 90°

d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

b·x = 45°, therefore;

h  = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

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3 years ago
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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
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⇒ ABC is a triangle having two equal sides so ABC is an isosceles triangle.

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