हिंदी

The length of AC is ______.

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प्रश्न

The length of AC is ______.

The image displays a geometric problem setup featuring a rectangular base section $BCDE$ with a height of $8\text{ m}$ and a width of $30\text{ m}$, right angles at vertices $B$ and $C$, a horizontal line $EB$, and a right-angled triangle $ABE$ with an angle of elevation of $45^{\circ}$ at vertex $E$.

विकल्प

  • 22 m

  • 38 m

  • 23 m

  • 45 m

MCQ
रिक्त स्थान भरें
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उत्तर

The length of AC is 38 m.

Explanation:

From figure,

BCDE is a rectangle.

∴ BC = DE = 8 m and BE = DC = 30 m.

We know that,

\[\tan \theta = \frac{\text{Perpendicular}}{\text{Base}}\]

From figure,

In △ ABE,

\[\Rightarrow \tan 45^\circ = \frac{AB}{BE}\]

\[\Rightarrow 1 = \frac{AB}{30}\]

⇒ AB = 30 m.

From figure,

AC = AB + BC = 30 + 8 = 38 m.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 22: Height and Distances - EXERCISE 22 (B) [पृष्ठ ३५१]

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सेलिना Concise Mathematics [English] Class 10 ICSE
अध्याय 22 Height and Distances
EXERCISE 22 (B) | Q 1. (c) | पृष्ठ ३५१
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