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# In the triangle, is y =30, then x =

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Joined: 18 Apr 2015
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Kudos [?]: 1154 [0], given: 5471

In the triangle, is y =30, then x = [#permalink]  09 Dec 2017, 16:06
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Question Stats:

66% (01:00) correct 33% (00:00) wrong based on 3 sessions
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In the triangle, is y =30, then x =

A. 3
B. 4
C. 5
D. 8
E. 9
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Joined: 07 Jan 2018
Posts: 604
Followers: 7

Kudos [?]: 544 [1] , given: 88

Re: In the triangle, is y =30, then x = [#permalink]  30 Jan 2018, 09:09
1
KUDOS
If y= 30degrees then this is a 30-60-90 triangle
30-60-90 triangle has respective opposite side in the ratio of $$X:X\sqrt{3}:2X$$
here side opposite 30 degree = 2x - 3
so side opposite 90 degree must be 2(2x - 3)
we already have side opposite 90 degree = x+6
therefore 2(2x-3) = x+6
solve for x; x = 4
(B)
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Re: In the triangle, is y =30, then x =   [#permalink] 30 Jan 2018, 09:09
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