ivyheathers
ivyheathers ivyheathers
  • 18-04-2021
  • Mathematics
contestada

The diagram shows a field ABC.

AC = 240 m

Use the sine rule to calculate AB.

The diagram shows a field ABC AC 240 m Use the sine rule to calculate AB class=

Respuesta :

jimrgrant1 jimrgrant1
  • 18-04-2021

Answer:

AB ≈ 312.1 m

Step-by-step explanation:

Using the Sine rule in the triangle, then

[tex]\frac{AB}{sin85}[/tex] = [tex]\frac{240}{sin50}[/tex] ( cross- multiply )

AB × sin50° = 240 × sin85° ( divide both sides by sin50° )

AB = [tex]\frac{240sin85}{sin50}[/tex] ≈ 312.1 m ( to 1 dec. place )

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