A tree breaks and falls to the ground such that its upper part is still partially attached to its stem. At what height did it break, if the original height of the tree was 24 cm and it makes an angle of 30° with the ground?

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

$$\frac{{10}}{{\sqrt 2 }}\,{\text{m}}$$

In tomato plant, red (R) is dominant over yellow (r) for fruit color and purple (P) is dominant over green (p) for stem color. Fruit color and stem color assort independently. The number of progeny plants of different fruit/stem colors obtained from a mating are as follows:
Red fruit, purple stem - 145
Red fruit, green stem - 184
Yellow fruit, purple stem - 66
Yellow fruit, green stem - 47
What are the genotypes of the parent plants in this mating?

A

RrPp × Rrpp

B

RrPp × RrPp

C

RRPP × rrpp

D

RrPP × Rrpp

The upper part of a tree broke at a certain height makes an angle of 60 ° with the ground at a distance of 10 m. from its feet. The original height of thetree was

A

20\u221a3 m.

B

10\u221a3 m.

C

10(2+\u221a3) m.

D

10(2-\u00ad\u221a3) 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 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

Tree top’s angle of elevation is 30° from a point on ground, 300m away the tree. When the tree grew up its angle of elevation became 60° from the same point. How much did the tree grow?

A

$$100\sqrt 3 \,{\text{m}}$$

B

$${\text{200}}\sqrt 3 \,{\text{m}}$$

C

$$300\frac{1}{{\sqrt 3 }}\,{\text{m}}$$

D

$$\frac{{200}}{{\sqrt 3 }}\,{\text{m}}$$

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

With reference to 'stem cells', frequently in the news, which of the following statement(s) is/are correct?
1. Stem cells can be derived from mammals only.
2. Stem cells can be used for screening new drugs.
3. Stem cells can be used for medical therapies.
Select the correct answer:

A

Only 1 and 2

B

Only 2 and 3

C

Only 3

D

1, 2 and 3

In the given question, a part of the sentence is printed in bold. Below the sentence, three alternatives to the bold part are given which may help improve the sentence. Choose the option that reflects the correct use of the phrase in the context of the sentence. In case the given sentence is correct, your answer is (E) i.e. No correction required. At first glance, it seems implausible that such an intricately engineered bio system such as our could have come about merely as a result of random modifications. i. such an intricately engineered bio system as ours ii. such intricately engineered bio system such as our iii. such intricately engineered bio system such as ours

A

Only I

B

Only ii

C

Only iii

D

Both ii and iii