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NDA Math Heights and Distance
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© examsnet.com
Question : 12
Total: 27
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?
[NDA I 2019]
h
2
|cot
2
y−cot
2
x|= z
2
z
2
|cot
2
y− cot
2
x |=h
2
h
2
|tan
2
y − tan
2
x |= z
2
z
2
| tan
2
y−tan
2
x |=h
2
Validate
Solution:
(A)
tan x =
h
x
∴ X = hcot x ,Y = hcot y
In ∆OAB
O
B
2
−
O
A
2
=
A
B
2
⇒ h
2
cot
2
y − h
2
cot
2
x = Z
2
⇒ h
2
(cot
2
y−cot
2
x ) = Z
2
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