Question

at a point the angle of elevation of a tower is such that it's tangent is 5/12. on walking 240m nearer the tower the tangent of the angle of elevation becomes 3/4. find the height of the tower​

Answer 1

Answer:

The height of the tower is 225m.

Step-by-step explanation:

tan (angle) = height / distance

5/12 = h / ( x + 240 )

3/4 = h / x

When we cross multiply :

12 h = 5 x + 1200

4 h = 3 x

9 x = 5 x + 1200

4 x = 1200

x = 1200 : 4

x = 300

h = 3 * 300 / 4

h = 225 m