मराठी

The measure of x correct to the nearest metre is ______.

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प्रश्न

The measure of x correct to the nearest metre is ______.

The image displays a right-angled triangle with a right angle at the bottom right, an acute angle of $30^{\circ}$ at the bottom left, a hypotenuse of length $70\text{ m}$, a horizontal base of length $x\text{ m}$, and a top horizontal line with directional arrows indicating parallel sightlines.

पर्याय

  • 70 m

  • 35 m

  • 61 m

  • 140 m

MCQ
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उत्तर

The measure of x correct to the nearest metre is 61 m.

Explanation: 

We know that,

\[\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}\]

From figure,

The image displays a right-angled triangle with a right angle at the bottom right, an acute angle of $30^{\circ}$ at the bottom left, a hypotenuse of length $70\text{ m}$, a horizontal base of length $x\text{ m}$, and a top horizontal line with directional arrows indicating parallel sightlines.

In \[\triangle ABC,\]

\[\Rightarrow \cos 30^\circ = \frac{BC}{AB}\]

\[\Rightarrow \frac{\sqrt{3}}{2} = \frac{x}{70}\]

\[\Rightarrow x = \frac{70\sqrt{3}}{2} = 35\sqrt{3} = 60.62 \approx 61\ \text{m}.\]

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 22: Height and Distances - EXERCISE 22 (A) [पृष्ठ ३४७]

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सेलिना Concise Mathematics [English] Class 10 ICSE
पाठ 22 Height and Distances
EXERCISE 22 (A) | Q 1. (d) | पृष्ठ ३४७
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