Question

Two persons on the same side of a tall building notice the angle of elevation of the top of the building to be 30 degree and 60 degree respectively. If the heights of the building is 72m , find the distance between two persons. (Underroot 3=1.73)

Answer 1

Please see the attachment

Answer 2

Answer:166.08 m

Step-by-step explanation:

let the height of building(AB) and distance from buildings are x(C) and y(D) meter.

then in triangle ABC

tan 30° = AB/BC

⇒√3 =72/x

⇒x= 72/√3

⇒x=24√3

again in triangle ABD

tan 60 °= AB/BD

⇒1/√3=72/y

⇒y= 72√3

then total distance

BD= x+y

BD=24√3+72√3

⇒BD=96√3

⇒BD= 166.08 m