Answer:
By using cross multiplication method, 1/2 is the difference between two fractions 5/6 and 1/3.
Step-by-step explanation:
We have that
points A <span>(2,2) and B (4,8)
we know
</span><span>the equation in point-slope form of the line is
y-y1=m*(x-x1)
step 1
find the slope m
m=(y2-y1)/(x2-x1)=(8-2)/(4-2)=6/2=3
with the point A (2,2) and m=3
y-2=3*(x-2)------------> this is the </span>equation in point-slope form of the line
Find angle a2 which is 40 degrees because it is parallel to angle c.
Find the total of d1 and d2.
total of d1 and d2: 180 - 40 - 40 = 100 degrees
Find d1 and d2 separately.
100 divided by 2 = 50 degrees
Use d1 to find b1 to find total of a1 and a2.
b1 is parallel to d1 so b1 = 50 degrees
a1 and a2 = 180 - 50 - 50 = 80 degrees
a1 = 80 divided by 2 = 40
Since a1 and c1 are parallel due to alternate angles, c1 is 40 degrees
Find b2 now which requires you to do total - minus all angles in the triangle with angle b2.
180 - 40 - 50 - 40 = 50 degrees (angle b2)
AOB has b1 and a1.
40 + 50 = 90 degrees (a1 + b1 = AOB)
The answer is 90 degrees
Answer: The length of flagpole is 24 feet.
Step-by-step explanation:
Since we have given that
Length of shadow =40 feet
Angle of elevation to the sun = ![31\textdegree](https://tex.z-dn.net/?f=31%5Ctextdegree)
In ΔABC,
We can apply "trigonometric rules ",
![\tan\theta=\frac{AB}{BC}\\\\\tan31\textdegree=\frac{AB}{40}\\\\0.6\times 40=AB\\\\24\ feet=AB](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cfrac%7BAB%7D%7BBC%7D%5C%5C%5C%5C%5Ctan31%5Ctextdegree%3D%5Cfrac%7BAB%7D%7B40%7D%5C%5C%5C%5C0.6%5Ctimes%2040%3DAB%5C%5C%5C%5C24%5C%20feet%3DAB)
Hence, the length of flagpole is 24 feet.
Answer:
x/2-4
Step-by-step explanation: