For the ones that are not filled out.
1.150
2.150
3.25
4.5
5.35
<span>Point B is where the 21 degree angle of elevation was taken.
Point C is where the 47 degree angle of elevation was taken.
Point D is at the base of the cliff.
You now have a large triangle ABD
Two smaller triangles ABC and ACD
Putting in angles: Angle BCA = 133 degrees,
Angle BAC = 26 degrees
Considering triangle ABC:
a/Sin A = b/Sin B
2500/sin(26) = b/Sin(21)
Cross multiply.
(2500 * sin(21))/sin(26) = b
b (Side AC) = 2043.75m
Considering triangle ACD
This is right angled at D
sin = Opposite/Hypotenuse.
sin(47) = Opposite/2043.75
Opposite = sin(47) * 2043.75
Opposite = 1494.7m
This is the height of the cliff.</span>
Answer:
2 1/4 or 2.25
Step-by-step explanation:
1 1/4 + 1/4 = 1 2/4
1 2/4 + 3/4 = 2 1/4
Answer:
Step-by-step explanation:
You want the slope-intercept equation of the line through (2, 2) and parallel to the line through (-1, 6) and (1, 5).
<h3>Slope</h3>
The parallel line will have the same slope. The slope is given by the equation ...
m = (y2 -y1)/(x2 -x1)
m = (5 -6)/(1 -(-1))
m = -1/2
<h3>Intercept</h3>
We need to find the y-intercept of the desired line. Solving the equation for "b", we get ...
y = mx +b
b = y -mx . . . . . . . subtract mx to find b
b = 2 -(-1/2)(2) . . . . use m=-1/2 and (x, y) = (2, 2)
b = 2 +1
b = 3
The equation we want is ...
y = -1/2x +3
Answer:
shorter piece = 7 ft
longer piece = 19 ft
Step-by-step explanation:
L = longer board
S = shorter board
L+S = 26 then L =26-S
L = 5+2S
substitute for L
26-S = 5+2S
add S to each side & subtract 5 from each side
3S = 21
divide both sides by 3
3S/3 = 21/3
S = 7
L = 19