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Pranay SB

· started a discussion

· 1 Months ago

Wrong answer in my opinion: (Question: 108144.0 )

Here, consecutive kilometers with respect to plane would be: x, x+1

It is not meant that the distance between the two stones is 1 km.

If we take x, x+1 are the distances, we get Option B as the answer. Pls check and confirm.

Question:
From an aeroplane just over a straight road, the angles of depression of two consecutive kilometer stones situated at opposite sides of the aeroplane were found to be 60° and 30° respectively. The height (in km) of the aeroplane from the road at that instant is:
Options:
A) \(\sqrt[]{3}\)
B) \(\cfrac{\sqrt[]{3}}{2}\)
C) \(\cfrac{\sqrt[]{3}}{3}\)
D) \(\cfrac{\sqrt[]{3}}{4}\)
Solution:
Ans: (d)


Let AD = x \(\Rightarrow\) BD = 1 – x

In \(\triangle\)ADC,

tan 60o  =\(\cfrac{h}{x}\Rightarrow x=\cfrac{h}{\sqrt{3}}\)     .........(i)

In \(\triangle\)BCD,

tan 30o = \(\cfrac{h}{1-x}\)              .........(ii)

Putting the value of x into equ. (ii),


Sumit Sharma

· commented

· 1 Months ago

bhai ye milestone ki bat kr rha h..manle A point 5 km bta rha h to use agla jo B point h vo 4 btayega ya 6 btayega..usse frk ni pdta..bt distance dono he case me 1km he hoga..point A and B k beech me..

Sneha singh

· commented

· 1 Months ago

B should be right ans

Deepak Kumar

· commented

· 1 Months ago

Agree. B should be the correct answer.
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