NDA_Math_2025_Q48

Question:

What is the area of the area of the triangle?

What is the area of the area of the triangle?

Options:

  • a) 15 3 4 square cm
  • b) 15 3 2 square cm
  • c) 15 3 square cm
  • d) 30 3 square cm Direction for Questions (49-50): Consider the following for the two (02) items that follow: The top (M) of a tower is observed from three points P, Q and R lying in a horizontal straight line which passes directly a long the foot (N) of the tower. The angles of elevations of M from P, Q and R are 30°, 45° and 60°, respectively. Let PQ = a and QR = b.
  • a) 15 3 4 square cm
  • b) 15 3 2 square cm
  • c) 15 3 square cm
  • d) 30 3 square cm Direction for Questions (49-50): Consider the following for the two (02) items that follow: The top (M) of a tower is observed from three points P, Q and R lying in a horizontal straight line which passes directly a long the foot (N) of the tower. The angles of elevations of M from P, Q and R are 30°, 45° and 60°, respectively. Let PQ = a and QR = b.

correct answer : a)

Explanation:

Area of triangle = 1
2× ac sinB
= 1
2 53×× × sin120°

=

1
2 15 60×× °sin
= 1
2 15 3
2××

= 15 3
4
2cm

Area of triangle = 1
2× ac sinB
= 1
2 53×× × sin120°

=

1
2 15 60×× °sin
= 1
2 15 3
2××

= 15 3
4
2cm

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