Question

.
Angle of elevation of top of a 30 m tall building from a point on the ground is 30°. As we
move towards the building after some distance the angle of elevation becomes 60°. Find the
distance moved towards the building.​

Answer 1

Answer:

distance moved towards building is 10root3× 2

Answer 2

Answer:

34.64 m

Step-by-step explanation:

Height of the building = 30 m

Angle of elevation = 30°

Find the distance from the point 1 to the building:

Let the distance be D1

tan (30) = 30/D1

D1 = 30/tan(30)

D1 = 51.96 m

Find the distance from the point 2 to the building:

Let the distance be D2

tan (60) = 30/D2

D2 = 30/tan(60)

D2 = 17.32 m

Find the distance moved:

Distance moved = 51.96 - 17.32

Distance moved = 34.64 m

Answer: They have moved 34.64 m closer to the building.