ing at the top of a temple which is 30 meter in height from a pointof

1.	ing at the top of a temple which is 30 meter in height from a pointof theat certain distance. The angle of elevation from his eye to the top of the crowntemple increases from 30Â° to 60Â° as he walks towards the temple. Find the distance hewalked towards the temple.
Answer» Boy is at AB. The temple is PQ. Angle of elevation changes from 30 to 60 as boy's head (eyes) move from B to S. We have to find distance x. (= BS) tan B = tan 30⁰ = 1/√3 = RQ / RB = 30 / D => D = 30 √3 meters tan S = tan 60° = √3 = RQ / RS = 30 / (30√3 - x) 30√3√3 - x√3 = 30 x = 60/√3 = 20√3 meters.

ing at the top of a temple which is 30 meter in height from a pointof theat certain distance. The angle of elevation from his eye to the top of the crowntemple increases from 30Â° to 60Â° as he walks towards the temple. Find the distance hewalked towards the temple.

Answer»

Boy is at AB. The temple is PQ. Angle of elevation changes from 30 to 60 as boy's head (eyes) move from B to S. We have to find distance x. (= BS)

tan B = tan 30⁰ = 1/√3 = RQ / RB = 30 / D => D = 30 √3 meters

tan S = tan 60° = √3 = RQ / RS = 30 / (30√3 - x) 30*√3*√3 - x√3 = 30

x = 60/√3 = 20√3 meters.