Height and Distance Questions Practice Question and Answer
8 Q: 129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of cliff is 30 °. The height of this cliff is
624 05f0c0f209b26c36beb2bb7f5
5f0c0f209b26c36beb2bb7f5- 143√3 metretrue
- 247 √3 metrefalse
- 350 √3 metrefalse
- 445 √3 metrefalse
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Answer : 1. "43√3 metre "
Q: A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30° with the ground. How high on the wall does the ladder reach?
604 06073fbbfc61d5c2ec9409048
6073fbbfc61d5c2ec9409048- 110 mtrue
- 217.32 mfalse
- 334.64 mfalse
- 430 mfalse
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Answer : 1. "10 m"
Q: The top of two poles of height 24 m and 42 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is
591 05ef183e27fed557ba2aaefc7
5ef183e27fed557ba2aaefc7- 1$$12\sqrt{3}$$true
- 2$$18\sqrt{3}$$false
- 3$$16\sqrt{3}$$false
- 4$$24\sqrt{3}$$false
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Answer : 1. "$$12\sqrt{3}$$"
Q: The angle of elevation of the foot of a house from the top of a tower is twice the angle made with the top of this house. If the height of the tower is 75 meters. And the elevation angle of the foot of the house from the top of the tower is 60 degrees. So what is the height of the house?
582 05f4df7f6ff09f8700a308986
5f4df7f6ff09f8700a308986- 125 meterfalse
- 237.5 meterfalse
- 350 metertrue
- 460 meterfalse
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Answer : 3. "50 meter"
Q: If the angle of the elevation of sun is θ and the length of the shadow of a pole of length P is S, then
563 05efeb26e9bfe193cd14b7fde
5efeb26e9bfe193cd14b7fde- 1P=Scosθfalse
- 2P = S sinθfalse
- 3$$ P= {S\over{Cotθ}}$$true
- 4P=S cotθfalse
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Answer : 3. "$$ P= {S\over{Cotθ}}$$"
Q: From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30° and 60°, respectively. The distance between the object is $$ {32{\sqrt{3}{\ meter}}}$$. The value of x is:
554 0605319634999e13f2a6cb875
605319634999e13f2a6cb875- 154false
- 236false
- 348true
- 445false
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Answer : 3. "48"
Q: A ladder rests against a wall at a height of 10 meters. If the ladder makes 30° along the ground. Find the distance from the wall of the foot of the ladder.
553 05f1547a29a713b0717c7a3a0
5f1547a29a713b0717c7a3a0- 1$$ {10\over{\sqrt{3}}}$$false
- 2$$ {20 \sqrt{3}}\over{3}$$false
- 3$$ {10\sqrt{3}}$$true
- 4$$ {20\sqrt{3}}$$false
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Answer : 3. "$$ {10\sqrt{3}}$$"
Q: The angle of elevation of the top of a tower from a point A on the ground is 30o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60o.The height of the tower is-
518 060530ff4a01bc44789ad9e09
60530ff4a01bc44789ad9e09- 15√3false
- 215false
- 310√3true
- 420√3false
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