At a point on level ground, the angle of elevation of a vertical tower

1.	At a point on level ground, the angle of elevation of a vertical tower is found to.such that its tangent is . On walking 192 m towards the tower, the tangen: fangle is found to be 3. Find the height of the towes.
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 ⋯ 12h = 960 + 5x ⋯⋯(1) h/x = 3/4 4h = 3x x = 4h/3 Substituting the value of x in (1) 12h = 960 + 5 × 4h/3 12h = 960 + 20h/336h = 2880 + 20h 16h = 2880 h = 2880/16 = 180m

At a point on level ground, the angle of elevation of a vertical tower is found to.such that its tangent is . On walking 192 m towards the tower, the tangen: fangle is found to be 3. Find the height of the towes.

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 ⋯ 12h = 960 + 5x ⋯⋯(1)

h/x = 3/4 4h = 3x x = 4h/3

Substituting the value of x in (1) 12h = 960 + 5 × 4h/3 12h = 960 + 20h/336h = 2880 + 20h 16h = 2880 h = 2880/16 = 180m