Question

from the top of a hill 51.6 high , the angle of depression of the top pf a tree of height 6.6 m situated in front of the hole, was observed and found to be 30 . find the distance between the hill and the tree​

Answer 1

Step-by-step explanation:

Let the distance between the nearer kilometre stone and the hill be 'x' km.

So, the distance between the farther kilometre stone and the hill is '1+x' km since both are on the same side of the hill.

In triangle APB,

tan45

0

=

x

h

⇒1=

x

h

⇒h=x

In triangle AQB,

tan30

0

=

1+x

h

⇒

3

1

=

1+x

h

⇒1+x=

3

h

From equation 1,

1+h=

3

h⇒1=

3

h−h

⇒h=

3

−1

1

⇒h=1.365km

hope it helps