A person stands at a point due south of a tower of height and observes its angle of…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

A person stands at a point

A

due south of a tower

O

of height

h

and observes its angle of elevation to be

60^\circ

. The person then walks westwards to

B

, where the angle of elevation is

45^\circ

. At a point

C

AB

produced, the angle of elevation is

30^\circ

. Show that

OA

OB

, and

OC

are in GP.