MEDIUM
10th CBSE
IMPORTANT
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From the top of a cliff 25 m high the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is

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Important Questions on Height and Distance

MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 10
The angles of depression of two ships from the top of a lighthouse are 45° and 30° towards east. If the ships are 100 m apart, the height of the lighthouse is
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 11
If the angle of elevation of a cloud from a point 200 m above a lake is 30° and the angle of depression of its reflection in the lake is 60°, then the height of the cloud above the lake is
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 12
The height of a tower is 100 m. When the angle of elevation of the sun changes from 30° to 45°, the shadow of the tower becomes x metres less. The value of x is
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 13
Two persons are a metre apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter person is
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 14
The angle of elevation of a cloud from a point h metres above a lake is θ. The angle of depression of its reflection in the lake from the same point is 45°. The height of the cloud is
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 15
A tower subtends an angle of 30° at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60°. The height of the tower is
HARD
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 16
It is found that on walking x metres towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60°. The height of the chimney is
HARD
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 17
The length of the shadow of a tower standing on level ground is found to be 2x metres longer when the sun's elevation is 30° than when it was 45°. The height of the tower in metres is