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deff fn [24]
2 years ago
12

What is the value of x? (Not multiple choice)

Mathematics
2 answers:
tekilochka [14]2 years ago
3 0
98 because you have to make the inner triangles angles equal to 180 which is 82 and since the line on which x is located is straight it is equal to 180. set up an equation (180=x+82) and solve which is 98
Naddika [18.5K]2 years ago
3 0

Answer:

x= 82°

Step-by-step explanation:

According to the angle sum property, sum of all angle in a triangle is 180°

45°+53°+x= 180°

98°+x= 180°

x= 180-98

x= 82°

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slega [8]

Answer:

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Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

  • Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
  • Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
  • Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation sin (68) = \frac{18}{h}.

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\

And finally we have h=\frac{18}{sin (68)}. We input to calculator.

h=\frac{18}{0.92718} \\h=19.4 feet

See the attached picture below showing the shore with the boat out at sea and the position of the person.


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