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10th Tamil Nadu Board

IMPORTANT

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If the angle of elevation of the top of a tower from a point on the ground, which is $30 m$ away from the foot of a tower of height $10 \sqrt{3} m$ is $k °$ , find $k$ .

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Important Questions on Trigonometry

EASY

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.2>Q 2

A road is flanked on either side by continuous rows of houses of height

4 \sqrt{3} m

with no space in between them. A pedestrian is standing on the median of the road facing a row house. The angle of elevation from the pedestrian to the top of the house is

30 °

. Find the width of the road.

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10th Tamil Nadu Board

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Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.2>Q 3

To a man standing outside his house, the angles of elevation of the top and bottom of a window are

60 °

and

45 °

respectively. If the height of the man is

180 cm

, he is

5 m

away from the wall, and the height of the window is

k cm

, then find the value of

k

(\sqrt{3} = 1.732)

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.2>Q 4

A statue of

1.6 m

tall stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is

60 °

and from the same point the angle of elevation of the top of the pedestal is

40 °

. Find the height of the pedestal.

(\tan 40 ° = 0.8391, \sqrt{3} = 1.732)

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.2>Q 5

A flag pole of height $' h'$ metres is on the top of the hemispherical dome of radius $' r'$ metres. A man is standing $7 m$ away from the dome. Seeing the top of the pole at an angle $45 °$ and moving $5 m$ away from the dome and seeing the bottom of the pole at an angle $30 °$ .

Find the value of $h$ . ( $\sqrt{3} = 1.732$ )

Question Image

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.2>Q 5

Find the radius of the dome. $(\sqrt{3} = 1.732)$

Question Image

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.2>Q 6

The top of a

15 m

high tower is observed from the bottom and the top on an electric pole with an angle of elevation of

60 °

and

30 °

respectively. If the height of the electric pole is

p cm

, find the value of

p

EASY

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.3>Q 1

From the top of a rock

50 \sqrt{3} m

high, the angle of depression of a car on the ground is observed to be

30 °

. If the distance of the car from the rock is

k m

, then find the value of

k

EASY

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.3>Q 2

The horizontal distance between two buildings is

70 m

. The angle of depression of the top of the first building when seen from the top of the second building is

45 °

. If the height of the second building is

120 m

, find the height of the first building.

If the angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of a tower of height 103 m is k°, find k.

Important Questions on Trigonometry

Learn and Prepare for any exam you want !

If the angle of elevation of the top of a tower from a point on the ground, which is $30 m$ away from the foot of a tower of height $10 \sqrt{3} m$ is $k °$ , find $k$ .