A flag staff stnds on the top of a 12 m high tower. From a point to.The ground,the angle of elevation of the top and bottom of the flag staff are observed to be 45 and 30 degree respectively .Find the height of the flagg staff
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Answer:
Step-by-step explanation:
Let Ab be the flag staff=h BC be the height of tower. CD is the base
Height of tower=12m let base CD=x
To find the height of the flag staff
In triangle BCD
Tan30 degree=BC/CD
1/root3=12/x
X=12root3
Now, in triangle ACD
Tan 45 degree = 12+h/x
1=12+h/12root3
12root3=12+h
12root3-12=h
12(root3-1)=h
Height of flag staff =12(root3-1)metre
HOPE IT IS HELPFUL
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Answer = 12(_/3-1)m
>given=angles of elevation and height of tower.
>we first have to find the base length i.e BC by applying tan30°, which will come as BC=12root3 or 12_/3 meters.
>then we apply tan 45°which will come as tan45°=AC/BC (where AC=h+12)
>we obtain h as 12(_/3-1).
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