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From a point P on the ground the angle of elevation of the top of a `10` m tall building is `30^@`. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is `45^@`. Find the length of the flagstaff

A

`5.2`m

B

`8.32`m

C

`6.2`m

D

`7.32`m

Text Solution

Verified by Experts

The correct Answer is:
D
`AP= ? , BD= ?`
`AB= 10m`
`cot(P)= (AP)/(BA)`
`sqrt3 = cot 30^@ = (AP)/(10)`
`AP= 10sqrt3 = 10 xx 1.732`
`= 17.32m`
`cot P = (AP)/(AD)`
`(AP)(AD)= 1`
...
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