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Heights & Distances

A car is movi...

Question

A car is moving towards a building. When it is at a distance of 500 metres from the building, another car starts moving away from the building. The two cars meet at a distance of 100 metres from the building, at an angle of elevation of 60⁰. Find the height of the building?

58 metres

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100 metres

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173 metres

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220 metres

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Solution

The correct option is C
173 metres

The given information can be drawn as the adjoining figure.
So, tan(60 $^{\circ}$ ) = $\frac{h}{100}$ $\Rightarrow$ $\sqrt{3}$ = $\frac{h}{100}$
$\Rightarrow$ h = 100 $\sqrt{3}$ = 173.14 metres

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A car is moving towards a building. When it is at a distance of 500 metres from the building, another car starts moving away from the building. The two cars meet at a distance of 100 metres from the building, at an angle of elevation of 600. Find the height of the building?

The correct option is C 173 metresThe given information can be drawn as the adjoining figure. So, tan(60∘) = h100 ⇒√3 = h100 ⇒ h = 100√3 = 173.14 metres

A car is moving towards a building. When it is at a distance of 500 metres from the building, another car starts moving away from the building. The two cars meet at a distance of 100 metres from the building, at an angle of elevation of 60⁰. Find the height of the building?

The correct option is C
173 metres

The given information can be drawn as the adjoining figure.
So, tan(60 $^{\circ}$ ) = $\frac{h}{100}$ $\Rightarrow$ $\sqrt{3}$ = $\frac{h}{100}$
$\Rightarrow$ h = 100 $\sqrt{3}$ = 173.14 metres