You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Other

Quantitative Aptitude

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

100 metres

No worries! We‘ve got your back. Try BYJU‘S free classes today!

173 metres

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

220 metres

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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

Suggest Corrections

Similar questions

Q. Two points '

A

' and '

B

' are in a straight line at a distance of

100

metre and

25

metre from base of a minarate respectively. Angle of elevation of the building at the points

A

and

B

is complementary. Find the height of the building.

Q. A man of height

6 f t

is moving away from a building of height

106 f t

at the rate of

25 f t / s e c .

The absolute value of the rate at which the angle of elevation of the top of the building is changing, when he is at a distance of

50 f t

from the foot of the building is

r a d / s e c

Q. A chimney

20

metres high, standing on the top of a building subtends an angle whose tangent is

\frac{1}{6}

at a distance

70

metres from the foot of the building. Find the height of the building.

A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.

Q. A chimney 20 metres high standing on the top of a building subtends an angle whose tangent is 1/6 at a distance 70 metres from the foot of the building. The height of the building is

Join BYJU'S Learning Program

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