imarimonye imarimonye
  • 06-11-2020
  • Mathematics
contestada

What is the answer to this question?

What is the answer to this question class=

Respuesta :

jimrgrant1 jimrgrant1
  • 06-11-2020

Answer:

≈ 3.9 miles

Step-by-step explanation:

The third angle in the triangle is

180° - (53 + 78)° = 180° - 131° = 49°

Using the Sine rule in the triangle with distance from 2 being x, then

[tex]\frac{3}{sin49}[/tex] = [tex]\frac{x}{sin78}[/tex] ( cross- multiply )

x × sin49° = 3 × sin78° ( divide both sides by sin49° )

x = [tex]\frac{3sin78}{sin49}[/tex] ≈ 3.9 ( to the nearest tenth )

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