1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The angles of elevation of the top of a tower from the top and foot of a pole are respectively 30$$^\circ$$ and 45$$^\circ$$. If hT is the height of the tower and hP is the height of the pole, then which of the following are correct?
1. $${{2{h_P}{h_T}} \over {3 + \sqrt 3 }} = h_P^2$$
2. $${{{h_T} - {h_P}} \over {\sqrt 3 + 1}} = {{{h_P}} \over 2}$$
3. $${{2({h_P} + {h_T})} \over {{h_P}}} = 4 + \sqrt 3 $$
Select the correct answer using the code given below.
1. $${{2{h_P}{h_T}} \over {3 + \sqrt 3 }} = h_P^2$$
2. $${{{h_T} - {h_P}} \over {\sqrt 3 + 1}} = {{{h_P}} \over 2}$$
3. $${{2({h_P} + {h_T})} \over {{h_P}}} = 4 + \sqrt 3 $$
Select the correct answer using the code given below.
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
From the top of a lighthouse, 100 m high, the angle of depression of a boat is $${\tan ^{ - 1}}\left( {{5 \over {12}}} \right)$$. What is the distance between the boat and the lighthouse?
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A balloon is directly above one end of a bridge. The angle of depression of the other end of the bridge from the balloon is 48$$^\circ$$. If the height of the balloon above the bridge is 122m, then what is the length of the bridge?
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The top of a hill observed from the top and bottom of a building of height h is at angles of elevation $${\pi \over 6}$$ and $${\pi \over 3}$$ respectively. What is the height of the hill?
Questions Asked from Height and Distance (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and FunctionsLogarithmsQuadratic Equations and InequalitiesSequence And SeriesBinomial TheoremMatricesDeterminantsPermutations and CombinationsProbabilityComplex NumbersVector AlgebraThree Dimensional GeometryStatistics
Trigonometry
Trigonometric Angles and EquationsInverse Trigonometric FunctionHeight and DistanceProperties of Triangles
Coordinate Geometry
Calculus
English
General Studies