MEDIUM

JEE Advanced

IMPORTANT

Earn 100

A tower subtends an angle of $30 °$ at a point distant $d$ from the foot of the tower and on the same level as the foot of the tower. At a second point, $h$ vertically above the first, the angle of depression of the foot of the tower is $60 ° .$ The height of the tower is

50% studentsanswered this correctly

Important Questions on Properties of Triangles, Heights and Distances

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 10 - Properties of Triangles, Heights and Distances>Target Exercises>Q 91

The angle of depression of a point situated at a distance of

70 m

from the base of a tower is

45 ° .

The height of the tower is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 10 - Properties of Triangles, Heights and Distances>Target Exercises>Q 92

The horizontal distance between the two towers is

60 m

. The angular elevation of the top of the taller tower as seen from the top of the shorter one is

30 ° .

If the height of the taller tower is

150 m

, the height of the shorter one is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 10 - Properties of Triangles, Heights and Distances>Target Exercises>Q 93

If the elevation of the Sun is

30 °,

then the length of the shadow cast by a tower of

150 ft

height, is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 10 - Properties of Triangles, Heights and Distances>Target Exercises>Q 94

An aeroplane flying at a height of

300 m

above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are

60 °

and

45 °

, respectively. Then, the height of the lower plane from the ground

(in metre)

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 10 - Properties of Triangles, Heights and Distances>Target Exercises>Q 95

A person walking along in a straight road observes that at two points

1000 m

apart, the angles of elevation of a vertical tower in front of him are

\frac{π}{6}

and

\frac{5 π}{12} .

The height of the tower is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 10 - Properties of Triangles, Heights and Distances>Target Exercises>Q 96

A chimney of

20 m

high, standing vertically on the top of a building, subtends an angle

\tan^{- 1} (\frac{1}{6})

at a distance of

70 m

from the foot of the building. The height of the building is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 10 - Properties of Triangles, Heights and Distances>Target Exercises>Q 97

A

and

B

are two points

30 m

apart in a line on the horizontal plane through the foot of a tower lying on opposite sides of the tower. The distances of the top of the tower from

A

and

B

are

20 m

and

15 m

respectively. If the angle of elevation of the top of the tower at

A

θ

and the height of the tower is

h,

then

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 10 - Properties of Triangles, Heights and Distances>Target Exercises>Q 98

The longer side of a parallelogram is

10 cm

and the shorter is

6 cm

. If the longer diagonal makes an angle

30 °

with the longer side, then length of the longer diagonal is

A tower subtends an angle of 30° at a point distant d from the foot of the tower and on the same level as the foot of the tower. At a second point, h vertically above the first, the angle of depression of the foot of the tower is 60°. The height of the tower is

Important Questions on Properties of Triangles, Heights and Distances

Learn and Prepare for any exam you want !

A tower subtends an angle of $30 °$ at a point distant $d$ from the foot of the tower and on the same level as the foot of the tower. At a second point, $h$ vertically above the first, the angle of depression of the foot of the tower is $60 ° .$ The height of the tower is