Question

The angle of elevation of the top of a tower from the foot of the building is 30 degree and the angle of elevation of the top of the building from the foot of the tower is 60 degree. what is the ratio of heights of tower and building.

Answer 1

HEY,,,

HERE IS YOUR ANSWER.==>>

Suppose,
AB = Height of tower (h1)

CD = Height of building (h2)

BC = distance between tower and building (x)

_______________________

In ∆ ABC,

Tan 30 = AB/ BC

1/√3 = h1/x

x = √3 (h1) .....(1)

______________________

In ∆ BCD ,

Tan 60 = CD/BC

√3 = h2 / x

x = h2/√3. ......(2)

_______________________

COMPARE EQ. (1) AND EQ. (2),

√3h1 = h2/√3

3h1 = h2

h1/h2 = 1/3

So,

Ratio of height of tower and Height of building is 1:3.

HOPE IT HELPS.....

THANKS...

Answer 2

Answer:

Step-by-step explanation: