Answer:
63 degrees.
Step-by-step explanation:
TRaingle ABC is isosceles so the base angles are equal That is < BAC = < BCA.
<BAC = 180 - 117 = 63 degrees ( because it is adjacent to <x which is 63 degrees).
So < BCA = <BAC = 63 degrees.
Finally y = 63 degrees ( vertical angles are equal).
If sport books recieved 9 votes then they would be in the middle of 8 and 10 on the bar graph. If you want to know where the bar should end it would be 10.
Hope helps!
How generous
x+3=8
minus 3 both sides
x+3-3=8-3
x+0=5
x=5
V = L * W * H
V = 4 * 4 * 8
V = 16 * 8
V = 128 cubic ft
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