Answer is in the attachment below. If you have any questions about the workings, just leave a comment below.
Find x. Round your answer to the nearest tenth of a degree. X 11 8
1 answer:
Answer:
46.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationships between sides and angles in a right triangle.
<h3>Sine</h3>Here, the side lengths given are the hypotenuse (11) and the side opposite the angle (8). The mnemonic reminds you the relation involving those sides is ...
Sin = Opposite/Hypotenuse
Applying this to the given triangle, you have ...
sin(x) = 8/11
<h3>Angle</h3>The angle is found using the inverse sine function. This may be called the sin⁻¹ function on your calculator. It is also referred to as the arcsine function.
x = arcsin(8/11) ≈ 46.658°
x ≈ 46.7°
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<em>Additional comment</em>
The attachment shows a calculator making this computation. The angle mode is set to "Degrees", as indicated in the lower left corner.
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The length of pendulum is 2.485 feet
<h3><u><em>Solution:</em></u></h3>Given that,
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth
<u><em>Therefore, the given formula is:</em></u>
We have to find the length of pendulum that makes one full swing in 1.75 seconds
So the modify the given equation to find "L"
Substitute T = 1.75 seconds and
Thus length of pendulum is 2.485 feet approximately