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Find the Distance Between the Origin and the Point: (8, -15) - Mathematics

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प्रश्न

Find the distance between the origin and the point:
(8, -15)

बेरीज

उत्तर

Coordinates of origin are O (0, 0).
C (8, -15)
CO = `sqrt((0 - 8)^2 + (0 + 15)^2)`
= `sqrt(64 + 225)`
= `sqrt(289)`
= 17

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पाठ 28: Distance Formula - Exercise 28 [पृष्ठ ३३५]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 28 Distance Formula
Exercise 28 | Q 2.3 | पृष्ठ ३३५

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Case Study

Trigonometry in the form of triangulation forms the basis of navigation, whether it is by land, sea or air. GPS a radio navigation system helps to locate our position on earth with the help of satellites.
A guard, stationed at the top of a 240 m tower, observed an unidentified boat coming towards it. A clinometer or inclinometer is an instrument used for measuring angles or slopes(tilt). The guard used the clinometer to measure the angle of depression of the boat coming towards the lighthouse and found it to be 30°.

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  2. After 10 minutes, the guard observed that the boat was approaching the tower and its distance from tower is reduced by 240(`sqrt(3)` - 1) m. He immediately raised the alarm. What was the new angle of depression of the boat from the top of the observation tower?

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