A boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 30 0 . A girl standing on the roof of 20 meter high building finds the angle of elevation of the same bird to be 45 0 . Both the boy and the girl are on opposite sides of the bird. Find the distance of the bird from the girl.
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Answered by
107
See image for better understanding..
sin 30 equals to 20 + H 100
1/2 equals to 20 + H/100
by cross multiplication we get..
40 + 2h equals to 100
now 20 + H equal 50
h Equal to 30
sin 45 equals to h upon x
1 upon root 2 equals to h upon x
X equals to root 2 h
X equals to root 2 multiply 30
X equals to 30 root 2
Answer = 30 root 2.
hope it helps You can also see image to better understanding..
sin 30 equals to 20 + H 100
1/2 equals to 20 + H/100
by cross multiplication we get..
40 + 2h equals to 100
now 20 + H equal 50
h Equal to 30
sin 45 equals to h upon x
1 upon root 2 equals to h upon x
X equals to root 2 h
X equals to root 2 multiply 30
X equals to 30 root 2
Answer = 30 root 2.
hope it helps You can also see image to better understanding..
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Answered by
4
Step-by-step explanation:
THE VALUE OF X IS 30
H = 30 root 2
=> 30 x 1.41
== 42.30
=> the distance of the bird from the girl is 42.30 m
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