Question

Men on each other side of a temple of 40 m height observed it is stop at the angle of elevation 45 degrees in 60° respectively find the distance between the two men.

Answer 1

Answer:

Question

Bookmark

Two men on either side of a temple of 30 m height observe its top at the angles of elevation 30

∘

and 60

∘

respectively. Find the distance between the two men.

Medium

Solution

verified

Verified by Toppr

Let AB be the height of the temple and P and Q are the two men on either side of the temple.

Given that,

AB=30 m, ∠APB=30

∘

,∠AQB=60

∘

In △ABP,

tan(∠APB)=

PB

AB

tan30

∘

=

PB

30 m

PB=30

3

m

In △ABP,

tan(∠AQB)=

QB

AB

tan60

∘

=

QB

30 m

QB=

3

m

30

QB=10

3

m

Now, PQ=PB+QB=30

3

m+10

3

m

So, PQ=40

3

m

Therefore, distance between two men, i.e. PQ=40

3

m