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VladimirAG [237]
3 years ago
10

Can someone help me it is due today and I’m having trouble

Mathematics
2 answers:
ELEN [110]3 years ago
8 0
Angle A is 24*
Angle B is 134*
Angle C is 22*
Scilla [17]3 years ago
6 0

Answer:

A: 24°

B: 22°

C: 134°

Step-by-step explanation:

A triangle will always add up to 180°

A + B + C = 180°

(2x + 4) + (2x + 2) + (13x + 4) = 180

2x + 2x + 13x + 4 + 2 + 4 = 180

17x + 10 = 180

17x = 180 - 10

17x = 170

17x/17 = 170/17

x = 10

A: 2x + 4

B: 2x + 2

C: 13x + 4

A: 24°

2x + 4

2(10) + 4

20 + 4

24°

B: 22°

2x + 2

2(10) + 2

20 + 2

22°

C: 134°

13x + 4

13(10) + 4

130 + 4

134°

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Semmy [17]

I found this!!!!

The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

In this case:

\begin{gathered}\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC\end{gathered}

α=x\°

adjacent=BC=y

hypotenuse=AC

Therefore, the scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

, and solve for the distance between the Sun and the shooting star "AC":

cos(x\°)=\frac{y}{AC}cos(x\°)=

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y

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