1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A ladder 9m long reaches a point 9m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the flagstaff is 60$$^\circ$$. What is the height of the flagstaff?
A
16.7m
B
10.5m
C
13.5m
D
15m
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The angle of elevation of a tower of height h from a point A due South of it is x and from a point B due East of A is y. If AB = z, then which one of the following is correct?
A
h2 (cot2y $$-$$ cot2x) = z2
B
z2 (cot2y $$-$$ cot2x) = h2
C
h2 (tan2y $$-$$ tan2x) = z2
D
z2 (tan2y $$-$$ tan2x) = h2
3
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
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 along 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
What is PN equal to?
A
$ \left(\frac{3-\sqrt{3}}{2}\right)a$
B
$ \left(\frac{3+\sqrt{3}}{2}\right)a$
C
$ \left(\frac{3-\sqrt{3}}{4}\right)a$
D
$ \left(\frac{3+\sqrt{3}}{4}\right)a$
4
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
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 along 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
What is MN equal to?
A
$ \left(\frac{3+\sqrt{3}}{2}\right)b$
B
$ \left(\frac{3-\sqrt{3}}{2}\right)b$
C
$ \left(\frac{3-\sqrt{3}}{4}\right)b$
D
$ \left(\frac{3+\sqrt{3}}{4}\right)b$
EXAM MAP