patelnishi05
patelnishi05 patelnishi05
  • 04-05-2020
  • Mathematics
contestada

Calculate the length of BC to the nearest tenth.

Calculate the length of BC to the nearest tenth class=

Respuesta :

PhantomWisdom PhantomWisdom
  • 09-05-2020

Answer:

BC = 3.9

Step-by-step explanation:

Let AC is h and BC is x. Firstly, using trigonometry we can find the value of h. So,

[tex]\sin\theta=\dfrac{2}{h}\\\\\sin(27)=\dfrac{2}{h}\\\\h=\dfrac{2}{\sin27}\\\\h=4.4[/tex]

Now using Pythagoras theorem to find the value of b. Such that,

[tex]x^2=4.4^2-2^2\\\\x=\sqrt{15.36} \\\\x=3.9[/tex]

So, length of BC is 3.9

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