एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो न...

एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण बनाती है |

`(1/3, 1/3, 1/3)`

`(1/sqrt(3),1/sqrt(3),1/sqrt(3))`

`(1/sqrt(3),1/(3),1/(3))`

`(1/sqrt(2),1/sqrt(2),1/sqrt(2))`

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The tops to two poles of height 60 metres and 35 metres are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5/9 metres, then what is the distance (in metres) between the two poles? दो खंभे जिनकी ऊँचाई 60 मीटर तथा 35 मीटर है, की चोटियों को रस्सी से जोड़ा गया है। यदि रस्सी क्षेतिज के साथ कोण बनाती है जिसकी स्पर्श रेखा 5/9 मीटर है, तो दोनों खम्बों के बीच की दूरी (मीटर में) क्या है?

A ladder leaning against a wall makes an angle theta with the horizontal ground such that sin theta= 12/13 . If the foot of the ladder is 7.5 m from a wall, then what is the height of the point from where the top of the ladder touches the wall? किसी दीवार पर झुकी हुई एक सीढ़ी क्षेतिज भूमि के साथ theta कोण बनाती है जो इस प्रकार है कि sin theta= 12/13 है | यदि सीढ़ी का तल दीवार से 7.5 मीटर है, तो उस बिंदु की ऊंचाई ज्ञात करें जहाँ से सीढ़ी का शीर्ष भाग दीवार को स्पर्श करता है |

A ladder leaning against a wall makes an angle alpha with the horizontal ground such that tan alpha=3/4 . If the foot of the ladder is 5 m away from the wall, what is the length of the ladder? किसी दीवार पर झुकी हुई एक सीढ़ी क्षेतिज भूमि के साथ कोण alpha इस प्रकार बनाती है कि tan alpha=3/4 है| यदि सीढ़ी का तल दीवार से 5 मीटर दूर है तो सीढ़ी की लंबाई ज्ञात करें |

The perimeter of a square is the same as the perimeter of a rectangle. The perimeter of the square is 40m. If its breadth is two-third of its length, then the area (in m^2 ) of the rectangle is : एक वर्ग की परिमाप एक आयत की परिमाप के समान है। वर्ग की परिमाप 40 मी है। यदि इसकी चौड़ाई इसकी लंबाई का दो-तिहाई है, तो आयत का क्षेत्रफल ( m^2 ) ज्ञात करें |

If the angle between two radii of a circle be 130^@ , then the angle between the tangents at the end of these radii is: यदि किसी वृत्त की दो त्रिज्या के बीच का कोण 130^@ है, तो इन त्रिज्या के अंत में स्पर्शरेखाओं के बीच का कोण है

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A

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