HARD

10th CBSE

IMPORTANT

Earn 100

The angles of elevation of the top of a tower from two points at a distance of $4 m$ and $9 m$ from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is $6 m .$

Important Questions on Height and Distance

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 59

A fire in a building

B

is reported on telephone to two fire stations

P

and

Q

which are located at the either side of the building,

20 km

apart from each other on a straight road.

P

observes that the fire is at an angle of

60^{o}

to the road and

Q

observes that it is at an angle of

45^{o}

to the road. Which station should send its team and how much will this team have to travel in kms? (Write only the numeral values without units) (Take

\sqrt{3} = 1.732

)

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 12 - Height and Distance>EXERCISE 12.1>Q 76

From the top of a tower $h$ metre high, the angles of depression of two objects, which are in the line with the foot of the tower are $α$ and $β (β > α)$ . Find the value of $\frac{Distance of two object}{(\cot α - \cot β)}$ .

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 12 - Height and Distance>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 5

If the angles of elevation of the top of a tower from two points at a distance of

4 m

and

9 m

from the base of the tower and in the same straight line with it are complementary and the height of the tower is

h m

, then find the value of

h

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 12 - Height and Distance>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 9

A B

is a pole of height

6 m

standing at a point

B

and

C D

is a ladder inclined at angle of

60 °

to the horizontal and reaches up to a point

D

of pole. If

A D = 2.54 m

and the length of ladder is

x m

, then the value of

x

is (Use

\sqrt{3} = 1.73

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 1

The ratio of the length of a rod and its shadow is

1 : \sqrt{3} .

The angle of elevation of the sun is

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 2

If the angle of elevation of a tower from a distance of

100 m

from its foot is

60 °

, then the height of the tower is

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 3

If the altitude of the Sun is at

60 °

, then the height of the vertical tower that will cast a shadow of length

30 m

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 4

If the angles of elevation of a tower from two points at a distance

a

and

b (a > b)

from its foot and in the same straight line from it are

30 °

and

60 °

, then the height of the tower is

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m.

Important Questions on Height and Distance

Learn and Prepare for any exam you want !

The angles of elevation of the top of a tower from two points at a distance of $4 m$ and $9 m$ from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is $6 m .$