Step-by-step explanation:
this creates a right-angled triangle.
the right angle (90°) being the angle between flag pole and ground.
the angle ground-wire is 50°.
because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is
180 - 90 - 50 = 40°
so, we have the situation to know 1 side and all angles.
to get the other sides we use best the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and related angles are always opposite of each other.
in our case now we have
24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft
so, the rounded answer is that the wire must be
31.3 ft long
Answer:
1/2
Step-by-step explanation:
7/10 - 2/10 = 5/10
5/10 simplifies to 1/2 by dividing numerator and denominator by 5.
Both angles WILL have the same measure.
So,
3x-10= x+40 (you have to set the equations equal to one another)
Now, add 10 to both sides.
3x=x+50
Subtract x on both sides.
2x=50
Divide both sides by 2.
x=25
Now, plug in x.
(25 +40)= 65
(3(25)-10)= 65
x equals 25 and both angles are equal to 65. Or "B".
I hope this helps!
~cupcake
Answer:
14%
Step-by-step explanation:
161/115 = 1.4 which you times by 100
X = 1 & Y = -1 this is the way that we should find x
