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Horizontal Level and Line of Sight

A kite of hei...

Question

A kite of height 10 m is subtending an angle of 30 $^{o}$ from a point located at some distance from the base of the tower. Find the length of the line of sight at kite top.

A

15

m

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B

20

m

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C

10

m

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D

12

m

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Solution

The correct option is B $20$ m
$△ A B C$ is a right-angled triangle.

$sin 30^{o} = \frac{A B}{A C}$

$\frac{1}{2} = \frac{10}{A C}$

$A C = 10 \times 2$

$A C = 20$ m

So, option B is correct.

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