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In the triangle ABC, what is the value of x ? ​

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Joined: 02 Sep 2009
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In the triangle ABC, what is the value of x ? ​  [#permalink]

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New post 31 Jan 2019, 22:01
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:12) correct 19% (01:34) wrong based on 30 sessions

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Director
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Joined: 09 Mar 2018
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Location: India
Re: In the triangle ABC, what is the value of x ? ​  [#permalink]

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New post 31 Jan 2019, 22:07
Bunuel wrote:
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In \(\triangle ABC\), what is the value of x ? ​

A) 75

B) ​60

C) ​45 ​

D) 30

E) ​15


IMO B

The triangle will be a 30 60 90 degree triangle

Even if you apply Pythagoras, side opposite to B will be \(\sqrt{48}\), which is 4\(\sqrt{3}\)
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Re: In the triangle ABC, what is the value of x ? ​  [#permalink]

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New post 01 Feb 2019, 16:29
Can be solved in seconds using basic Trigonometry.

We know cosine or cos of an angle in a right angled triangle is base/hypotenuse.

In this question, we know base/hypotenuse = 4/8 = 1/2

Also cosine 60 = 1/2.

Hence x = 60 deg.
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Re: In the triangle ABC, what is the value of x ? ​   [#permalink] 01 Feb 2019, 16:29
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In the triangle ABC, what is the value of x ? ​

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