Question

a person at the top of a hill observes that the angle of depression of two consecutive kilometre stones on a road leading to the foot of the hill and in the same vertical plane containing the position of the observers are 30 degree and 60 degree find the height of the hill ​

Answer 1

Answer:

√3÷4

Step-by-step explanation:

dist b/w stones is 1km

height be h

dist b/w mountain and 1st dist stone be x

therefore the dist b/w mountain and 2nd dist stone is 1-x

tan 30=h÷x ...... 1

tan 60=h÷(1-x).......2

x=h√3....from 1

x=(√3-h)÷√3....from 2

then equating both x

u will get the answer