(D) Let $AB$ be the height of the temple,where $AB = 20 \ m$.Let $BC$ be the breadth of the river.The angle of elevation from point $C$ to the top $A$

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(D) Let $AB$ be the height of the temple,where $AB = 20 \ m$.Let $BC$ be the breadth of the river.The angle of elevation from point $C$ to the top $A$ is $\angle ACB = 30^{\circ}$.In the right-angled triangle $ABC$:$\tan 30^{\circ} = \frac{AB}{BC}$$\frac{1}{\sqrt{3}} = \frac{20}{BC}$$BC = 20 \sqrt{3} \ m$Using $\sqrt{3} \approx 1.73$:$BC = 20 \times 1.73 = 34.6 \ m$.Thus,the breadth of the river is $34.6 \ m$.

Class 10 Mathematics Some Applications of Trigonometry Heights and Distances

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The angle of elevation of the top of the temple on the bank of the river from a point exactly opposite to the temple on the other bank of the river is $30^{\circ}$. If the height of the temple is $20 \ m$,then the breadth of the river is $\ldots \ldots \ldots \ldots \ m$.

A
$17.3$
B
$173$
C
$346$
D
$34.6$

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Some Applications of Trigonometry

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The angle of elevation of the top of the temple on the bank of the river from a point exactly opposite to the temple on the other bank of the river is $30^{\circ}$. If the height of the temple is $20 \ m$,then the breadth of the river is $\ldots \ldots \ldots \ldots \ m$.

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Write 'True' or 'False' and justify your answer.
If the length of the shadow of a tower is increasing,then the angle of elevation of the sun is also increasing.

Write 'True' or 'False' and justify your answer.
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