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Margarita [4]
3 years ago
11

How do you find a missing side with trigonometry

Mathematics
1 answer:
Nata [24]3 years ago
5 0
Example 1:  The angle is 42 deg and the length of the hypotenuse is 25.  The side of length x is opposite the 42 deg angle.  
                                opposite side
Thus, sin 42 deg = --------------------  =>  25 sin 42 deg = x = opp side
                                         25

                                                                25(0.669) = 16.7 units (answer)
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Please help with math
Andru [333]

Answer:

Scale factor  = 3

Step-by-step explanation:

Using similar triangles

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

Expand

3x+30 = 27x-90

3x-27x = -90 - 30

-24x = -120

x = 120/24

x = 5

For the larger triangle;

AC = 3x-10

AC = 3(5)-10

AC =15-10

AC = 5

AB = x+10

AB = 5+10

AB = 15

For the scale factor;

Since AT/AG = AB/AC

9/15 = 3/5

3*3/5*3 =3/5

Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3

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