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The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is
A
17 m
B
27 m
C
25 m
D
30 m
Correct Answer:
25 m
A straight tree is broken due to thunder storm. The broken part is bent in such a way that the peak touches the ground at an angle elevation of 45°. The peak of the tree touches the ground at a distance of 25 m. What will be the height of the tree?
A
25(1 + √2) m
B
20√3 m
C
25 / √3 m
D
22√2 m
A straight tree is broken due to thunder storm. The broken part is bent in such a way that the peak touches the ground at an angle elevation of 53°. The peak of the tree touches the ground at a distance of 15 m. What will be the height of the tree?
A
68.52 m
B
55.76 m
C
58.62 m
D
64.58 m
There is a tree between houses of A and B. If the tree leans on A’s House, the tree top rests on his window which is 12 m from ground. If the tree leans on B’s House, the tree top rests on his window which is 9 m from ground. If the height of the tree is 15 m, what is distance between A’s and B’s house?
A
21 m
B
25 m
C
16 m
D
12 m
A tree is cut partially and made to fall on ground. The tree however does not fall completely and is still attached to its cut part. The tree top touches the ground at a point 10m from foot of the tree making an angle of 30°. What is the length of the tree?
A
$$10\sqrt 3 \,{\text{m}}$$
B
$$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$
C
$$\frac{{\left( {\sqrt 2 - 1} \right)}}{{10}}\,{\text{m}}$$
D
$$\frac{{10}}{{\sqrt 2 }}\,{\text{m}}$$
A vertical rod of height 33 metres is bent to form a semi-circular shape so that the top touches the ground. The distance between the top head and the base on the ground is :
A
10.5 m
B
12 m
C
21 m
D
33 m
If the height of a tower is 10 m and the angle a ladder that just touches its top makes with the base land is 45 degree, then what will be the base distance?
A
10√3 m
B
5 m
C
20 m
D
10 m
A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8√3 m from its foot and makes an angle of 30° withthe horizontal. The height (in metre) of the post is
A
12
B
16
C
18
D
24
The upper part of a tree broken over by the wind make an angle of 60 deg with the ground. The distance between the root and the point where top of the treetouches the ground is 25 metres. What was the height (in metres) of the tree?
A
84.14
B
93.3
C
98.25
D
120.24
Read the passage carefully and choose the best answer to each question out of the four alternatives.
Manja, or the glass-coated string used for flying kites, not only poses threat to humans, animals and birds but also to trees. A study by the country's oldest botanical garden has revealed that it poses a great threat to trees. But how can a snapped string struck in a tree kill the tree? Apparently, it does so by allying with the creepers in the garden.
A research paper by three scientists of the Acharya Jagdish Chandra Bose Indian Botanic Garden, located in West Bengal's Howrah district, illustrates in detail how the manja, in collusion with climbers, does the damage. "The abandoned, torn kite strings act as an excellent primary supporting platform for the tender climbers, giving easy passage to reach the top of the trees. Lateral branches from the top of the climber and other accessory branches from the ground reaches the top taking support of the first climber, completely covers the treetop, thus inhibiting the penetration of sunlight," says the research paper.
What gives easy passage to 'climbers' to top of the trees?
A
Creepers
B
Torn kites
C
Lateral branches
D
Manja
The radius of base of solid cone is 9 cm and its height is 21 cm. It cut into 3 parts by two cuts, which are parallel to its base. The cuts are at height of 7 cmand 14 cm from the base respectively. What is the ratio of curved surface areas of top, middle and bottom parts respectively?
A
1 : 4 : 8
B
1 : 3 : 5
C
1 : 3 : 9
D
1 : 6 : 12