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Vilka [71]
3 years ago
11

Solve for the missing sides and show all the work.

Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0

So, first you must find the remaining angle measure. To do this add 25 and 90 then subtract from 180. The remaining angle measure is 65 degrees.

Next, use tangent, cosine, or sine to find the remaining side lengths.

I used sine of 25 which is opposite of hypo. which is sine 25 = y/43.

Multiply both side by 43 and you get y=18.17

Do the same to find x, but use the sine of 65, and you get sine 65 = x/43.

Multiply both sides by 43 and you get x=38.97

Hope this helped!

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The length of AB is 9.

Solution:

Given data:

Radius OC = 8

Tangent AC = 15

The angle between the tangent and radius is always right angle.

∠C = 90°.

Hence OCA is a right triangle.

Using Pythagoras theorem,

<em>In a right triangle square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

OA^2=15^2+8^2

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Taking square root on both sides of the equation, we get

OA = 17

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⇒ OB = 8

AB = OA – OB

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AB = 9

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The maximum displacement of the tuning fork is 0.4 mm

<h3>What is a tuning Fork ?</h3>

A tuning fork is a acoustic resonator , It is used to tune musical Instruments.

It is given in the question that the

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The maximum displacement of the tuning fork is 0.4 mm

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