A hill slopes upwards at an angle of $30^{\circ}$ with horizontal. At what height the man will be , if 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
Let "h" be the height to which the man reaches when he walks 100 m up the hill.

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

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A hill slopes upwards at an angle of 30∘ with horizontal. At what height the man will be , if he walks 100 m up the hill ?

The correct option is C 50 mLet "h" be the height to which the man reaches when he walks 100 m up the hill. sin30∘=h100 sin30∘=12 ⇒ h=12×100=50m

A hill slopes upwards at an angle of $30^{\circ}$ with horizontal. At what height the man will be , if he walks 100 m up the hill ?

The correct option is C 50 m
Let "h" be the height to which the man reaches when he walks 100 m up the hill.

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