Question

At a point on level ground, the angle of a elevation of a vertical tower is found to be such that its tangent is 5/12, on walking 19.2m towards the tower, the tangent of the angle of elevation is 3/4. Find the height of tower​

Answer 1

Answer:

Let x be the height of the tower. As shown in the figure, let A be the initial position and B be the final position. Then,

h

192

+

x

=

5

12

12

h

=

960

+

5

x

⋯

⋯

(

1

)

h

x

=

3

4

4

h

=

3

x

x

=

4

h

3

Substituting the value of x in (1)

12

h

=

960

+

5

×

4

h

3

12

h

=

960

+

20

h

3

36

h

=

2880

+

20

h

16

h

=

2880

h

=

2880

16

=

180

meter