Question

Find the height of the chimney,when it is found that on walking towards it 50m in a horizontal line through its base, the angle of elevation of its top changes from 30°to 60°​

Answer 1

Answer:

25√3

Step-by-step explanation:

horizontal distance from point where

ang. of elv. is 30° to chimney = 50 + x

tan 30° = h /(50 + x)

h = (50+ x)/√3 --(1)

tan 60° = h/x => h = √3 x --(2)

√3x = (50 + x)/√3 => x = 25

so h = √3 × 25 = 25√3