Question

On the level of gowound, the anglan of the top of a tower is 30° 0 On 20 meters nearer is 45⁰. fend the angle. of elevation (4 moving of elevation the height of the tower



ans.in explain​

Answer 1

Answer

Let AB be the tower, BD be the ground and h be the height of the tower.

In ΔADB, tan30

∘

=

20+x

h

⇒

3

1

=

20+x

h

⇒h=

3

20+x

In ΔACB,

tan60

∘

=

x

h

⇒h=

3

x

Now,

3

x=

3

20+x

⇒3x=20+x

⇒x=10

⇒h=

3

×10=10

3

m

Hence, option 'D' is correct.