Question

the angles of elevation of the top of a pole and a point on the pole 20 root 3 below the top are 60 degrees and 45 degrees respectively from point A on the ground. find the height of the pole
pls answer
urgent

Answer 1

Answer:

Let AB be the pole and P be point on level ground.

and height of the pole be h.

In △ABP,

tan∠APB=

BP

AB

or, tan30

∘

=

BC+20

h

or,

3

1

=

BC+20

h

or, BC=

3

h−20 .................(i)

Now,

In △ABC,

tan∠ACB=

BC

AB

or, tan45

∘

=

BC

h

or, 1=

BC

h

or, BC=h ...................(ii)

From eqn.(i) and eqn (ii), we get

3

h−20=h

or, (

3

−1)h=20

or, h=

3

−1

20

=10(

3

+1)

Hence, B is the correct option.