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class 10
Solutions for all the questions from class 10
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Class 10
Math
All topics
Some Applications of Trigonometry
A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of
$30_{0}$
with the ground. The distance from the foot of the tree to the point where the top touches the ground is 10 meters.The height of the tree is
Class 10
Math
All topics
Some Applications of Trigonometry
A right circular cylindrical tower, height
$_{′}h_{′}$
and radius
$_{′}r_{′}$
, stands on the ground. Let 'p' be a point in the horizontal plane ground and ABC be the semi-circular edge of the top of the tower such that B is the point in it nearest to p. The angle of elevation of the points of the tower such that B is the point in it nearest to p. The angles of elevation of the points A and B are
$45_{0}$
and
$60_{0}$
respectively. show that
$rh =23 (1+3 ) $
Class 10
Math
All topics
Some Applications of Trigonometry
From three collinear points A, B, C on a straight level road, the angles of elevation of a hill top are
$α, β$
. If AB = BC = a, then the height of the hill is
$sin(α+β) sin(α−β) a2 sinαsinβ $
Class 10
Math
All topics
Some Applications of Trigonometry
From a point
$100m$
above a lake the
$Le$
of a stationary helicopter is
$30$
and
$Ld$
of reflection of the helicopter in the lake is
$60_{∘}$
. Find height of helicopter.
Class 10
Math
All topics
Some Applications of Trigonometry
A statue standing on a column subtends equal angles
$α$
at two points which are at a distance of 18 m. and 22 m. from the column. If
$tanα=101 $
, find the height of the column and the statue.
Class 10
Math
All topics
Some Applications of Trigonometry
A ladder
$20ft$
. long reaches a point
$20ft$
. below the top of a flag. The angle of elevation of the top of the flag at the foot of the ladder is
$60_{o}$
. Find the height of the flag.
Class 10
Math
All topics
Some Applications of Trigonometry
Two persons are 'a' metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter person in metre is __________.
Class 10
Math
All topics
Some Applications of Trigonometry
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of
$30_{∘}$
.The man walks some distance towards the tower and then his angle of elevation of the top of the tower is
$60_{∘}$
. If the height of the tower is 30 m, then the distance he moves is:
Class 10
Math
All topics
Some Applications of Trigonometry
At the foot of the mountain the angle of elevation of its summit is found to b
$α$
. After ascending a ft. towards the mountain up a slope of inclination
$β$
, the angle of elevation is found to be
$γ$
. Show that the height of the mountain is
$sin(γ−α)asinαsin(γ−β) $
feet.
Class 10
Math
All topics
Some Applications of Trigonometry
A vertical tower stands on a declivity which is inclined at
$15_{o}$
to the horizon. From the foot of the tower a man ascends the declivity for
$80$
feet and then finds that the tower subtends at angle of
$30_{o}$
. The height of the tower is-
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class 10
Solutions for all the questions from class 10
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
KNOW MORE
30
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●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
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CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
biology
computer science
english
general knowledge
math
physics
rrb
sbi examinations
science
social science
Class 10
Math
All topics
Some Applications of Trigonometry
A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of
$30_{0}$
with the ground. The distance from the foot of the tree to the point where the top touches the ground is 10 meters.The height of the tree is
Class 10
Math
All topics
Some Applications of Trigonometry
A right circular cylindrical tower, height
$_{′}h_{′}$
and radius
$_{′}r_{′}$
, stands on the ground. Let 'p' be a point in the horizontal plane ground and ABC be the semi-circular edge of the top of the tower such that B is the point in it nearest to p. The angle of elevation of the points of the tower such that B is the point in it nearest to p. The angles of elevation of the points A and B are
$45_{0}$
and
$60_{0}$
respectively. show that
$rh =23 (1+3 ) $
Class 10
Math
All topics
Some Applications of Trigonometry
From three collinear points A, B, C on a straight level road, the angles of elevation of a hill top are
$α, β$
. If AB = BC = a, then the height of the hill is
$sin(α+β) sin(α−β) a2 sinαsinβ $
Class 10
Math
All topics
Some Applications of Trigonometry
From a point
$100m$
above a lake the
$Le$
of a stationary helicopter is
$30$
and
$Ld$
of reflection of the helicopter in the lake is
$60_{∘}$
. Find height of helicopter.
Class 10
Math
All topics
Some Applications of Trigonometry
A statue standing on a column subtends equal angles
$α$
at two points which are at a distance of 18 m. and 22 m. from the column. If
$tanα=101 $
, find the height of the column and the statue.
Class 10
Math
All topics
Some Applications of Trigonometry
A ladder
$20ft$
. long reaches a point
$20ft$
. below the top of a flag. The angle of elevation of the top of the flag at the foot of the ladder is
$60_{o}$
. Find the height of the flag.
Class 10
Math
All topics
Some Applications of Trigonometry
Two persons are 'a' metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter person in metre is __________.
Class 10
Math
All topics
Some Applications of Trigonometry
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of
$30_{∘}$
.The man walks some distance towards the tower and then his angle of elevation of the top of the tower is
$60_{∘}$
. If the height of the tower is 30 m, then the distance he moves is:
Class 10
Math
All topics
Some Applications of Trigonometry
At the foot of the mountain the angle of elevation of its summit is found to b
$α$
. After ascending a ft. towards the mountain up a slope of inclination
$β$
, the angle of elevation is found to be
$γ$
. Show that the height of the mountain is
$sin(γ−α)asinαsin(γ−β) $
feet.
Class 10
Math
All topics
Some Applications of Trigonometry
A vertical tower stands on a declivity which is inclined at
$15_{o}$
to the horizon. From the foot of the tower a man ascends the declivity for
$80$
feet and then finds that the tower subtends at angle of
$30_{o}$
. The height of the tower is-
1
2
3
4
5
6
7
8
9
10
Previous
page
1 / 127
You're on page
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page
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