Question

distance between two poles is 24 m distance line makes 60° with horizontal. How much is the pole longer than shorter pole?​

Answer 1

Mark as brainliest answer

Answer 2

Step-by-step explanation:

Let the height of pole CD=h

then the height of the poleAB=2h

Now, the distance between the poles=60m

Let X be the mid-point of BD

Let ∠DXC=θ,∠BXA=90

∘

−θ

Now, in △CDX

tanθ=

DX

CD

=

30

h

......(1)

In △ABX

tan(90

∘

−θ)=cotθ=

BDX

AB

=

30

2h

......(2)

⇒tanθ×cotθ=

30

h

×

30

2h

⇒1=

450

h

2

⇒h=15

2m

So, height of smaller pole=15

2m

Height of bigger pole=30

2m