destinyrachellebaron
destinyrachellebaron destinyrachellebaron
  • 03-05-2019
  • Mathematics
contestada

Given the following triangle, if c = 18.6 and m B = 43°, find the length of BC (side a) to the nearest whole number.

Respuesta :

jamuuj jamuuj
  • 03-05-2019

Answer:

= 14

Step-by-step explanation:

Given a right angled triangle with hypotenuse length c =18.6 and ∠B = 43°.

We can use the trigonometric forms of a right angled triangle,

That is;

Cos 43 = Adjacent/Hypotenuse

That is;

Cos 43 = BC/AC = a/c

Therefore;

Cos 43 = a/18.6

a = 18.6 × cos 43

   = 13.603

   = 14

Therefore, BC or a is 14 (to the nearest whole number)

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