Two poles of heights 18 metre and 7 metre are erected on a ground. The length of the wire fastened at their tops in 22 metre. Find the angle made by the wire with the horizontal.
Answers
Answered by
123
Let two poles AB and CD of heights 18 m and 7 are erected on a ground as shown in figure . Wire AC of length 22m fastened at their tops .
Put a point on AB in such a way that CE || BD .
so, BE = CD = 7 m -----(1)
We have to find angle made by the wire with the horizontal .
It means, we have to find out ∠ACE
first of all we have to find out AE .
Here, AE = AB - EB = AB - CD = 18m - 7m = 11m [ from equation (1),]
Now apply sin∠ACE = AE/AC
so, sin∠ACE = 11m/22m = 1/2 = sin30°
∠ACE = 30°
Hence, angle made by wire with the horizontal is 30°
Put a point on AB in such a way that CE || BD .
so, BE = CD = 7 m -----(1)
We have to find angle made by the wire with the horizontal .
It means, we have to find out ∠ACE
first of all we have to find out AE .
Here, AE = AB - EB = AB - CD = 18m - 7m = 11m [ from equation (1),]
Now apply sin∠ACE = AE/AC
so, sin∠ACE = 11m/22m = 1/2 = sin30°
∠ACE = 30°
Hence, angle made by wire with the horizontal is 30°
Attachments:
Answered by
99
Hey mate here's your ans...
plz mark as brainliest...❤❤❤
Attachments:
Similar questions