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Byju's Answer
Standard XII
Mathematics
Trigonometric Ratios Using Right Angled Triangle
PQ is a tower...
Question
PQ is a tower standing on a horizontal plane, Q being its foot. A and B are two points on the plane such that the angle QAB is 90
o
and AB is 40m. It is found that
c
o
t
P
A
Q
=
3
10
and
c
o
t
P
B
Q
=
1
2
. Show that the height of the tower is 100 m.
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Solution
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Similar questions
Q.
P
Q
is a tower standing on a horizontal plane,
Q
being its foot. Two points
A
and
B
are taken on the plane such that
A
B
=
32
and
∠
Q
A
B
is a right angle. It is found that
cot
P
A
Q
=
2
/
5
and
cot
P
B
Q
=
3
/
5
, the height of the tower is
Q.
The angles of elevation of the top of a tower standing on a horizontal plane from two points on a line passing through the foot of the tower at distance
a
and
b
respectively are complementary angles. Prove that the height of the tower is
√
a
b
. If the line joining the two points subtends and angle
θ
at the top of the tower, show that
sin
θ
=
(
a
−
b
)
(
a
+
b
)
.
Q.
A right circular cylindrical tower of height h and radius r stands on a horizontal plane. Let A be a point in the horizontal plane and PQR be the semi-circular edge of the top of the tower such that Q is the point in it nearest to A, the angles of elevation of the points P and Q from A are
45
o
and
60
o
respectively. Show that
h
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=
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(
1
+
√
5
)
2
Q.
The angle of elevation of the top of a tower at a distance 30 m from its foot on a horizontal plane is found to be 30
o
. The height of the tower is _____
Q.
The angle of elevation of the top of a tower standing on a horizontal plane from two points on a line passing through the foot of the tower at a distance
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f
t
and
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f
t
respectively are complementary angles. Then the height of the tower is:
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