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jolli1 [7]
3 years ago
15

Help please with the question

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0

Answer:

try x=3.08

Step-by-step explanation:

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A. 6

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On triangle ZYX divide each side by 3 to get 4-4-3. Then multiple each side by 2, to get 8-8-6. That would mean DE is 6.

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3 years ago
Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t
Black_prince [1.1K]

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°

m∠A + 53° + 78° = 180°

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)}

AC = 3.17 miles

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

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

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

7 0
3 years ago
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