NDA 2015 Paper 2 | Height and Distance Question 2 | Mathematics

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?

3.90 m

4.00 m

4.10 m

4.25 m

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?

$${{h\cot q} \over {\cot q - \cot p}}$$

$${{h\cot p} \over {\cot p - \cot q}}$$

$${{2h\tan p} \over {\tan p - \tan q}}$$

$${{2h\tan p} \over {\tan q - \tan p}}$$

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?

$${{4500} \over {\sqrt 3 }}$$

$${{4500(\sqrt 3 - 1)} \over {\sqrt 3 }}$$

$$4500\sqrt 3 $$

$${{4500(\sqrt 3 + 1)} \over {\sqrt 3 }}$$

NDA 2017 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

The angle of elevation of a stationary cloud from a point 25m above a lake is 15$$^\circ$$ and the angle of depression of its image in the lake is 45$$^\circ$$. The height of the cloud above the lake level is

25 m

25$$\sqrt 3 $$ m

50 m

50$$\sqrt 3 $$ m

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