Question

32. A statue 1,6 m tall, stands on the top of a pedestal, From a point
on the ground, the angle of elevation of the top of the statue is
60º and from the same point the angle of elevation of the top of
the pedestal is 45º Find the height of the pedestal,​

Answer 1

Step-by-step explanation:

Now from the figure

∠FBC=45°

∠ABC=60°

0

Therefore

tan45°

0

=

m

h

=1

Hence h=m

And

tan60

0

=

h

1.6+h

=

3

Hence

1.6+h=

3

h

1.6=h(

3

−1)

h=

3

−1

1.6

=

2

1.6(

3

+1)

=0.8(

3

+1)

=2.185m

Hence the height of the pedestal is 2.185m.

solution

Answer 2

Step-by-step explanation:

$\mathfrak{ \huge{ \red{ \underline{hope \: it \: helps}}}}$