A hill which slopes upwards makes an angle of 30- with ground- At what height will a man be- when he walks 100 m up the hill-A- 40 mB- 50 mC- 60 mD- 30 m

The correct option is B 50 m sin 30^∘ = h/100 h = 1/2× 100 = 50 m ...

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Standard X

Mathematics

Horizontal Level and Line of Sight

A hill which ...

Question

A hill which slopes upwards makes an angle of $30^{\circ}$ with ground. At what height will a man be , when he walks 100 m up the hill?

30 m

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40 m

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50 m

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60 m

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Solution

The correct option is C 50 m

$s i n 30^{\circ} = \frac{h}{100}$
$h = \frac{1}{2} \times 100 = 50 m$

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A hill which slopes upwards makes an angle of 30∘ with ground. At what height will a man be , when he walks 100 m up the hill?

The correct option is C 50 m sin30∘=h100 h=12×100=50m

A hill which slopes upwards makes an angle of $30^{\circ}$ with ground. At what height will a man be , when he walks 100 m up the hill?

The correct option is C 50 m

$s i n 30^{\circ} = \frac{h}{100}$
$h = \frac{1}{2} \times 100 = 50 m$