College of Admission Tests Multan

Triangles

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 7

triangle -22181208
In this figure, X=12, Y=6√3, and Z=6. What is the value of angle a?
  • 45
  • 60
  • Undefined
  • 30
  • 90∘

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Correct Answer: D

triangle -22181208

Notice that these sides fit the pattern of a 30:60:90 right triangle: x : x√3 : 2x.

In this case, x=6.

Since angle a is opposite x, it must be 30∘.