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# Find the value of x in the figure above…

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• A. 20√3
• B. 4√3
• C. 5√3
• D. 10√3

D

## SOLUTION…

If two of the angles of the are 30 and 60 degrees, then the remaining is obviously 90

This means we are free to use SOHCAHTOA to find x.

Tan 60 = x/10

But tan 60 = √3

Therefore,

√3 = x/10

10√3 = x

### Now for the right answer to the above question:

1. Option A is incorrect.
2. Option B is incorrect.
3. C is incorrect.
4. D is the correct answer.

## KEY-POINTS…

• SOHCAHTOA is never to be applied to any triangle which has none of its angle as 90 degree.
• Angles with a 90 degree is often called right angled triangle.
• Again, only right-angled triangle is qualified to be resolved with SOHCAHTOA.
• Any triangle which has none of its angles as 90 degree should be analyzed with sine or cosine rule.
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/ culled from 2015 -UTME mathematics past question 5 /