Question

A vertical pole stands on the ground level from a point on the ground 25 cm away from the foot of the pole the angle of elevation of its top is found to be 60 degree . Find the height of the pole​

Answer 1

•Let AB be the pole standing on a level ground and Let O be the position of the observer .Then ,OA=25 cm,

∠OAB=90⁰ and ∠AOB=60⁰

Let AB=h meters

From right △OAB ,we have

AB/OA=tan60⁰=√3

=h/25=√3

=h=(25×1.732)=43.3

Hence,the height of the pole is 43.3 m

Answer 2

•Let AB be the pole standing on a level ground and Let O be the position of the observer .Then ,OA=25 cm,

∠OAB=90⁰ and ∠AOB=60⁰

Let AB=h meters

From right △OAB ,we have

AB/OA=tan60⁰=√3

=h/25=√3

=h=(25×1.732)=43.3

Hence,the height of the pole is 43.3 m