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An observer in a boat finds that the angle of elevation of a tower standing on the top of a cliff is $60 °$ , and that of the top of cliff is $30 °$ . If the height of the tower be $60$ meters, then the height of the cliff is:

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Important Questions on Heights and Distances

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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 16

A B C D

is a square plot. The angle of elevation of the top of a pole standing at

D

from

A

C

30 °

and that from

B

θ,

then

\tan θ

is equal to

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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 17

The angle of elevation of a ladder against a wall is

58 °

and the length of foot of the ladder is

9.6 m

from the wall. Then the length of the ladder is

[\cos 58 ° = 0.5299]

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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 18

From the top of a tower, the angle of depression of a point

P

on the ground is

30 °

. If the distance of the point

P

from the tower be

24

meters then height of the tower is

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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 19

A tower subtends an angle of

30 °

at a point on the same level as the foot of the tower. At a second point.

h

metre above first, point the depression of the foot of the tower is

60 °

, the horizontal distance of the tower from the points is

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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 20

From a point on the ground

100 m

away from the base of a building, the angle of elevation of the top of the building is

60 °

. Which of the following is the best approximation for the height of the building-

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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 21

A kite is flying with the string inclined at

75 °

to the horizon. If the length of the string is

25 m

, the height of the kite is-

HARD

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IMPORTANT

Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 22

If a flagstaff

6 m

high placed on the top of a tower throws a shadow of

2 \sqrt{3} m

along the ground, then the angle (in degree) that the Sun makes with the ground, is

HARD

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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 23

6

ft tall man finds that the angle of elevation of the top of a

24

ft high pillar and the angle of depression of its foot are complementary angles. The distance of the man from the pillar is

An observer in a boat finds that the angle of elevation of a tower standing on the top of a cliff is 60°, and that of the top of cliff is 30°. If the height of the tower be 60 meters, then the height of the cliff is:

Important Questions on Heights and Distances

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An observer in a boat finds that the angle of elevation of a tower standing on the top of a cliff is $60 °$ , and that of the top of cliff is $30 °$ . If the height of the tower be $60$ meters, then the height of the cliff is: