Notice that in the dotted line above there is an arrowhead.
There is also an arrowhead on the bottom side of the triangle.
Those arrowheads mean that the dotted line and the bottom side of the triangle are parallel.
Since the bottom side is perpendicular to the left vertical side, then the dotted line is also perpendicular to the left vertical side.
The angle formed by the dotted line and the vertical side is 90 deg.
Since the angle shown is 28 deg, then the upper left angle of the triangle is 90 - 28 = 62 deg.
Now you have enough info to answer the question.
For the 62-deg angle, the 350-ft side is the adjacent leg.
y is the opposite leg.
The trig ratio that relates the adjacent and opposite legs is the tangent.
![\tan \theta = \dfrac{opp}{adj}](https://tex.z-dn.net/?f=%20%5Ctan%20%5Ctheta%20%3D%20%5Cdfrac%7Bopp%7D%7Badj%7D%20)
![\tan 62^{\circ} = \dfrac{y}{350~ft}](https://tex.z-dn.net/?f=%20%5Ctan%2062%5E%7B%5Ccirc%7D%20%3D%20%5Cdfrac%7By%7D%7B350~ft%7D%20)
![y = 350 \tan 62^{\circ} ~ft](https://tex.z-dn.net/?f=%20y%20%3D%20350%20%5Ctan%2062%5E%7B%5Ccirc%7D%20~ft%20)
Answer:
r=244745.8 (approximately)
Step-by-step explanation:
r=x²/y
ry-x²=0
r(59000)-(380000)²=0
r=380000²/59000
r=144400000/59
r=244745.8 (approximately)
Answer:
-1.193 <
> 4.443
Step-by-step explanation:
1.625 -1.895 *4.206712/sqr 8
1.625 -
<
1.625 +
-1.193 < U{d} > 4.443
Answer:
x=1
Step-by-step explanation:
4x-6= -2
+6=+6
<u>4x</u>=<u>4</u>
4 = 4
x= 1
Answer:
central angle=18
arc length=2.5 π feet
area of a sector=31.25π square feet
Step-by-step explanation:
Given
wheel radius=25 feet
attached cars=20
Space between cars along the circumference of wheel= 360/20
=18
Finding arc length:
arc length= radius x angle(in radians)
angle in radian = 18 x π/180 = 0.1π radians
arc length = 25 x 0.1π
=2.5π feet
Area of the circle = πr^2
Area of the circle = π(25)^2
Area of the circle = 625π square feet.
As the ratio of the central angle to the full circle angle is proportional to the area of the sector to the complete circle:
central angle/360=area of sector/area of circle
Area of sector= area of circle x 18/360
= 625π(1/20)
=31.25π !