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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?

A. 

450 m

B. 

500 m

C. 

423.5 m

D. 

495 m

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Answer with explanation

Answer: Option B

Explanation

Tan θ = Perpendicular / Base

Angle with treetop & 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

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Comments

  1. pratap says

    November 24, 2020 at 8:23 pm

    how

    Reply

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