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Find the value of x in the figure above
- A. 20√3
- B. 4√3
- C. 5√3
- D. 10√3
QUICK ANSWER…
D
SOLUTION…
If two of the angles of the triangle are 30 and 60 degrees, then the remaining angle is obviously 90ᵒ
This means we are free to use SOHCAHTOA to find x.
Tan θ = opposite/adjacent
Tan 60 = x/10
But tan 60 = √3
Therefore,
√3 = x/10
10√3 = x
Now for the right answer to the above question:
- Option A is incorrect.
- Option B is incorrect.
- C is incorrect.
- D is the correct answer.
KEY-POINTS…
You may please note these/this:
- 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 JAMB-UTME mathematics past question 5 /
