1Date:31/10 to 05/11 Subjcct -- Maths
Trigonomety,Circles)
(Some Applications of
31st Oct. 2022
1, then sun's altitude is
The length of the shadow of avertical pole is v3 times its heightthe
naking an angle of 60o with wall than the height of the point where
2.
A ladder 15 m long against a wall
the ladder touch the wall is
3. The angle of elevation of the sun when the shadow of a pole is h m high is V3high h long is
m tower is 30°, then the
4 The angle of depression of a car parked on the road from the top of a 150
distance of the car from the tower is
5. A ladder leaving against a wall makes an anglc of 60o with the
horizontal. If the foot of the ladder is 2.5 m
away from the wall, then the length of the ladder is ?
01s Nov. 2022
which is
1. Two building are facing cach other on a road of width 12 metre. From the top of thec first building,
10 metre high, the angle of elevation of the top of the sccond is found to be 60, What is the height of the
second building?
2. State whether the given statement is true or false. Ifa number of circles touch a given line segment PQ at a
point A, then their centres lie on the perpendicular bisector of PQ.
3. In the given figure, atower AB is 20 mhigh and BC, its shadow on the ground, is 20V3 mlor g. Find the
Sun's altitude.
20m
20 V3 m
4. In the figure AB is a 6mn high pole and CD is a ladder inclined at an angle of 60° to te horizontal and reaches up
to a point D of pole. If AD =2.54 m. Find the length of the ladder.
D
5. The base radius of two circles cones of thc saime ieignt are in the ratio 3:5the
ratio of their volurnes are 9
02nd Nov. 2022
1. The tops oftwo towers of height x and y standing on level
at the centre of the line joining their feet, then find x : y. grourd, suntend angles of 30° and 60respectively
2. State whether the given statement is true or false. The angle
between two tangents to a circle may be 0°.
3. From thc top of tower 100 rn high, a man observes two cars on the
depression 300 and 450 respectively. Find the distance between theopposite
cars.
sidcs of the tower with angles of
4 Atower stands vertically on the ground. From a
the tower, the angle of elevation of the top of point on the ground, whicn is 15 m away fron the foot of
the tower is
5. The angles of depression of the top and the bottom of an 8found to be 60°. Find the height of the tower.
m tall building from t!he top of a multi-stored
building are 30° and 45°, respectively. Find the height of the
the two buildings. multi-stored building and the distance between
Trigonomety,Circles)
(Some Applications of
31st Oct. 2022
1, then sun's altitude is
The length of the shadow of avertical pole is v3 times its heightthe
naking an angle of 60o with wall than the height of the point where
2.
A ladder 15 m long against a wall
the ladder touch the wall is
3. The angle of elevation of the sun when the shadow of a pole is h m high is V3high h long is
m tower is 30°, then the
4 The angle of depression of a car parked on the road from the top of a 150
distance of the car from the tower is
5. A ladder leaving against a wall makes an anglc of 60o with the
horizontal. If the foot of the ladder is 2.5 m
away from the wall, then the length of the ladder is ?
01s Nov. 2022
which is
1. Two building are facing cach other on a road of width 12 metre. From the top of thec first building,
10 metre high, the angle of elevation of the top of the sccond is found to be 60, What is the height of the
second building?
2. State whether the given statement is true or false. Ifa number of circles touch a given line segment PQ at a
point A, then their centres lie on the perpendicular bisector of PQ.
3. In the given figure, atower AB is 20 mhigh and BC, its shadow on the ground, is 20V3 mlor g. Find the
Sun's altitude.
20m
20 V3 m
4. In the figure AB is a 6mn high pole and CD is a ladder inclined at an angle of 60° to te horizontal and reaches up
to a point D of pole. If AD =2.54 m. Find the length of the ladder.
D
5. The base radius of two circles cones of thc saime ieignt are in the ratio 3:5the
ratio of their volurnes are 9
02nd Nov. 2022
1. The tops oftwo towers of height x and y standing on level
at the centre of the line joining their feet, then find x : y. grourd, suntend angles of 30° and 60respectively
2. State whether the given statement is true or false. The angle
between two tangents to a circle may be 0°.
3. From thc top of tower 100 rn high, a man observes two cars on the
depression 300 and 450 respectively. Find the distance between theopposite
cars.
sidcs of the tower with angles of
4 Atower stands vertically on the ground. From a
the tower, the angle of elevation of the top of point on the ground, whicn is 15 m away fron the foot of
the tower is
5. The angles of depression of the top and the bottom of an 8found to be 60°. Find the height of the tower.
m tall building from t!he top of a multi-stored
building are 30° and 45°, respectively. Find the height of the
the two buildings. multi-stored building and the distance between
