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प्रश्न
The measure of x correct to the nearest metre is ______.
विकल्प
70 m
35 m
61 m
140 m
MCQ
रिक्त स्थान भरें
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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,
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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