an observeron the top of a tower 120 m high observes the angles of depression of the two objects to - Maths - Some Applications of Trigonometry

Question

an observeron the top of a tower 120 m high observes the angles of
depression of the two objects to be 45 deg and 30 deg respectively
given both the objects and the foot of the tower lie on the same
horizontal line find the distance between the objects if the
objects are on:
1 the same side of the tower
2 the opp sides of the tower

Rishabh Mittal · Accepted Answer

Dear Student , Please find below the solution to the asked query : 1 Objects are on the same side of the tower

In △ABCtan 30°=ABBC13=120BCBC=1203 m In △ABDtan 45°=ABBD1=120BDBD=120 m Distance between two objects =BC-BD=1203-120=1203-1 m 2 Objects are on the opposite sides of tower

In △ACBtan 45°=ACBC1=120BCBC=120 m In △ACDtan 30°=ACCD13=120CDCD=1203 m Distance between two objects =BC+CD=1203+120=1203+1 m ANS Hope this information will clear your doubts about the topic If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible Regards