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The angle of elevation of the tip of a f...

The angle of elevation of the tip of a flag staff from a point 10 m due South of its base is `60^(@)`. What is the height of the flag staff correct of the nearest meter?

A

15m

B

16m

C

17m

D

18m

Text Solution

Verified by Experts

The correct Answer is:
C
Let 'A' be the top of the flag staff.
Let 'x' be the height of the flag staff.
In `DeltaABC, tan 60^(@)=(x)/(10)`
`sqrt(3)=(x)/(10)`
`x=10sqrt(3)=10xx1.732` ltbgt `=17.32~= 17`
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