Question

2) Guddi was standing on a road near a mall.
She was 1000m away from the mall and able
to see the top of the mall from the road in
such a way that top of the tree, which is in
between her and the mall, was exactly in line
of sight with the top of the mall. The tree
height is 10m and it is 20m away from Guddi.
How tall is the mall?​

Answer 1

Answer:

Mall is 500 m Tall

Step-by-step explanation:

Guddi was standing on a road near a mall.  She was 1000m away from the mall and able  to see the top of the mall from the road in  such a way that top of the tree, which is in  between her and the mall, was exactly in line  of sight with the top of the mall. The tree  height is 10m and it is 20m away from  Guddi.

Tan θ = Perpendicular / Base

Angle with tree top & Mall top is same

Tanθ = Height of tree / Distance of tree from guddi

=> Tanθ = 10/20

=>  Tanθ = 1/2

Tanθ = Height of Mall / Distance of Mall from guddi

=> 1/2 = Height of Mall / 1000

=> Height of Mall = 500 m

Mall is 500 m Tall