Answer:
39
Step-by-step explanation:
3x + 12 = 6x - 15
6x - 3x = 12 + 15
3x = 27
x = 9
KJ = KH = KG = 3x + 12
KG = 3.(9) + 12
KG = 27 + 12
KG = 39
I hope I helped you.
This is the concept of application of trigonometry;
The height of the tree will be given by:
tan theta=opposite/adjacent
theta=65
opposite=h
adjacent= 10
thus;
tan 65=h/10
h=10 tan 65
h=21.45 m
The distance between the dog and the man is x;
the distance of the man to the tree is (x+10) m
this will be given by:
tan 50= 21.45/(10+x)
getting the reciprocal of the expression we get;
1/tan 50=(10+x)/21.45
cross multiplying the above expression we get;
21.45=(10+x)tan 50
21.45=(10+x)1.2
21.45=12+1.2x
1.2x=21.45-12
1.2x=9.45
x=9.45/1.2
x=7.875
We conclude that the distance of the Firefighter and the dog is x=7.875 m
Ninety two million, three hundred twenty eight thousand, four hundred twenty five HOPE I HELPED
