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10th CBSE
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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

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Important Questions on Height and Distance

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
HARD
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 18
Two poles are a metres apart and the height of one is double of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the smaller pole is
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 19
The tops of two poles of height 16 m and 10 m are connected by a wire of length l metres. If the wire makes an angle of 30° with the horizontal, then l=_____ metres
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10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 20
If a 1.5 m tall girl stands at a distance of 3 m from a lamp-post and casts a shadow of length 4.5 m on the ground, then the height of the lamp-post is
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10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 21
The length of shadow of a tower on the plane ground is 3 times the height of the tower. The angle of elevation of sun is
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10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 22
The angle of depression of a car, standing on the ground, from the top of a 75 m tower, is 30°. The distance of the car from the base of the tower (in metres) is
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 12 - Height and Distance>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 23
A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is