1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Two poles are 10 m and 20 m high. The line joining their tops makes an angle of 15$$^\circ$$ with the horizontal. The distance between the poles is approximately equal to
A
36.3 m
B
37.3 m
C
38.3 m
D
39.3 m
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A vertical tower standing on a levelled field is mounted with a vertical flag staff of length 3 m. From a point on the field, the angles of elevation of the bottom and tip of the flag staff are 30$$^\circ$$ and 45$$^\circ$$, respectively. Which one of the following gives the best approximation to the height of the tower?
A
3.90 m
B
4.00 m
C
4.10 m
D
4.25 m
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The top of a hill when observed from the top and bottom of a building of height h is at angles of elevation p and q respectively. What is the height of the hill?
A
$${{h\cot q} \over {\cot q - \cot p}}$$
B
$${{h\cot p} \over {\cot p - \cot q}}$$
C
$${{2h\tan p} \over {\tan p - \tan q}}$$
D
$${{2h\tan p} \over {\tan q - \tan p}}$$
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A moving boat is observed from the top of a cliff of 150 m height. The angle of depression of the boat changes from 60$$^\circ$$ to 45$$^\circ$$ in 2 minutes. What is the speed to the boat in metres per hour?
A
$${{4500} \over {\sqrt 3 }}$$
B
$${{4500(\sqrt 3 - 1)} \over {\sqrt 3 }}$$
C
$$4500\sqrt 3 $$
D
$${{4500(\sqrt 3 + 1)} \over {\sqrt 3 }}$$
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