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11111nata11111 [884]
3 years ago
15

Simplify this expression. 2/5(13 + 2)O 2/65 + 2/100 2/5 +28726765 +2710O 2675 +2710

Mathematics
1 answer:
inysia [295]3 years ago
8 0

Answer:

Simplify the expression.

\frac{2(5890015775O + 23342698444)}{1625}

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Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

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m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}

AC = \frac{3\text{sin}(53)}{\text{sin}(49)}

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Therefore, shortest distance from the mountain is 3.17 miles.

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