The angle of elevation is the degree at which you need to look up, therefore the angle between the dotted line, let's call it LM, and line LK is 5 degrees
Angle JLK and Angle KLM are also complimentary angles, meaning that they both add up to 90 degrees, therefore angle JLK = 90-55=35degrees
Now, SOHCAHTOA comes in handy to find JL. Since we know JLK and JK, this is going to be a breeze.
Since the sides we are using are opposite and adjacent to JLK, we are going to use tan.
So: tan = o/a
however, as we don't know a, we need to rearrange the equation so a is on its own
tan=o/a (times both sides by a)
tan a = o (divide both sides by tan)
a = 0/tan
Now we can solve the equation with the information given
a = 26/tan35
a = 26/0.7
a=37.13184818
=> 37.1
So, you can put down A as your answer :D
Answer:
= 1099 cm^2
Step-by-step explanation:
The surface area of a cylinder is found by using the formula
SA=2πrh+2πr^2
We know the diameter. To find the radius, we take the diameter and divide by 2.
r =d/2
r =14 cm/2 = 7 cm
h = 18 cm
Substituting what we know
SA = 2 * pi * 18 * 7 + 2 * pi * (7)^2
= 252 *pi + 2* pi *49
= 252 pi + 98 pi
= 350 * pi
Let pi be approximated by 3.14
SA = 350 * 3.14
= 1099 cm^2
Assume that the angle is at the rear of the truck bed, and that the length of the truck bed is 12'. Then:
opp side
tan theta = --------------
adj side
becomes:
8 ft
tan theta = --------- = 2/3 = approx. 0.667
12 ft
Then tan theta = 2/3, and arctan (2/3) = 0.589 radian, or 33.7 degrees.
This is less than 45 deg, so the answer is NO, the clay will not pour out easily.
Standard form is ax+by=c
to find the slope, do, -a/b
-a/b=-3/2
-a=-3
b=2
a=3
3x+2y=c
find c
plot the point
(8,-12)
(x,y)
x=8
y=-12
3(8)+2(-12)=c
24-24=c
0=c
3x+2y=0 or
y=-3/2x