Question

A post is standing on the ground whose shadows length is 20 m less when suns altitude is 80 degree and post altitude is 45 degree . draw a diagram to represent this situation​

Answer 1

Height of Post = 24.28  m

Step-by-step explanation:

See the attached picture for diagram to represent the situation​

Let say Height of Post = H  m

Tan 45°  = AB/BD

=> 1  = H/BD

=> BD = H

Tan 80° = AB/BC

=> 5.67 =  H/(BD - CD)

=> 5.67  = H/(H - 20)

=> 5.67H - 113.4 = H

=> 4.67H = 113.4

=> H = 24.28

Height of Post = 24.28  m

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Answer 2

$\huge\star\mathfrak\blue{{Answer:-}}$

See the attached picture for diagram to represent the situation

Let say Height of Post = H m

Tan 45° = AB/BD

=> 1 = H/BD

=> BD = H

Tan 80° = AB/BC

=> 5.67 = H/(BD - CD)

=> 5.67 = H/(H - 20)

=> 5.67H - 113.4 = H

=> 4.67H = 113.4

=> H = 24.28

Height of Post = 24.28 m