Question

The angle of elevation of the top of a tower from a point on the ground which is 30cm away from the foot of the tower is 30 degree. Find the height of the tower

Answer 1

tan 30=h/30

1/root 3=h/30

h=30/root 3

h=10 root 3

Answer 2

Step-by-step explanation:

In ∆ ABC,

tan 30° = AB/BC

1/√3 = AB/30

30/√3 = AB

AB = 30/√3

Now, Multiplying numerator and denominator by 3 we get:

AB = 30/√3 × √3/√3

AB = 30√3/3

AB = 10√3

Therefore, the height of the tower is 10√3.