The angle of elevation of the top of a tower form a point 20 m away from its base is `45^(@)`. What is the height of the tower?

Options

A. 10 m
B. 20m
C. 30m
D. 40m

Answer

B

Explanation

In `DeltaABC`,
AB=h
BC=20m ltbgt `angleC=45^(@)`
`:. tan 45^(@)=(AB)/(BC)`
`1=(h)/(20) " " [:' tan 45^(@)=1]`
h=20 m
`:. ` Height of the tower = 20 m
`:.` Option (b) is correct.