From an observation tower- the angles of depression of two cars on the opposite sides of the tower are - and - If the tower-s height is -h- meters- find the distance between the cars-

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

Calculating Heights and Distances

From an obser...

Question

From an observation tower, the angles of depression of two cars on the opposite sides of the tower are $α$ and $β$ . If the tower's height is `h' meters, find the distance between the cars.

h (cot α - cot β ) m

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

h (cot α + cotβ ) m

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

h (tan α + cot β ) m

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

h (cot α + tan β) m

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

h (tanα - tanβ ) m

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

Open in App

Solution

The correct option is B
h (cot α + cotβ ) m

We have, d $_{1}$ = h cot $α$ , d $_{2}$ = h cot $β$

Thus, the distance between the cars is D

D = d $_{1}$ + d $_{2}$ = h (cot $α$ + cot $β$ ) meters.

Suggest Corrections

Similar questions

Q. From the top of a 120 m high tower, a man observes two cars on the opposite sides of the tower and in straight line with the base of tower with angles of depression as 60° and 45°. Find the distance between the cars. (Take

\sqrt{3} = 1.732

)

Q. From the top of a tower, the angles of depression of two objects on the same side of the tower are found to be

α

and

β

(

α > β

). If the distance between the objects is

^{'} p^{'}

metres, determine the height of the tower if

α = 60^{o}, β = 30^{o}, p = 150 m e t r e

From an aeroplane vertically above a straight horizontal road, the angles of depression of two stones on opposite sides of the aeroplane are observed to be $α$ and $β$ . The distance between the stones is 1m.Then the height in meters of the aeroplane above the road is

Join BYJU'S Learning Program

From an observation tower, the angles of depression of two cars on the opposite sides of the tower are α and β. If the tower's height is `h' meters, find the distance between the cars.

The correct option is B h (cot α + cotβ ) m We have, d1= h cot α, d2 = h cot β Thus, the distance between the cars is D D = d1 + d2 = h (cot α+ cotβ) meters.

From an observation tower, the angles of depression of two cars on the opposite sides of the tower are $α$ and $β$ . If the tower's height is `h' meters, find the distance between the cars.

The correct option is B
h (cot α + cotβ ) m

We have, d $_{1}$ = h cot $α$ , d $_{2}$ = h cot $β$

Thus, the distance between the cars is D

D = d $_{1}$ + d $_{2}$ = h (cot $α$ + cot $β$ ) meters.