Does anyone know the answer?
1 answer:
The points C and D are 13.8173 meters apart.
Step-by-step explanation:
Step 1:
Assume the distance between points C and D is x. So the distance from B to D is (x + 24) m.
In the triangle, the given angle is 48°, the opposite side, AB's length is 42 meters. The adjacent side's length is (24 + x) meters. To determine the x's length, we determine the tan of the angle. To calculate the tan of an angle, we divide the opposite side's length by the adjacent side's length.
Step 2:
The length of the opposite side = 42 meters.
The length of the adjacent side = (24 + x) meters.
So the distance between C and D is 13.8173 meters.
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Answer:
3.58
Step-by-step explanation:
Given :
y = 2x + 4 -------- eq1
y = 2x - 4 -------- eq2
sanity check : both equations have same slope, so we can conclude that they are both parallel to one another.
Step 1: consider equation 1, pick any random x-value and find they corresponding y-value. we pick x = -2
This gives us y = 2(-2) + 4 = 0
Hence we get a point (x,y) = (-2,0)
Step 2: express equation 2 in general form (i.e Ax + By + C = 0)
y = 2x-4 -------rearrange---> 2x - y -4 = 0
Comparing with the general form, we get A = 2, B = -1, C = -4
Recall that the distance between 2 parallel lines is given by the attached formula (see attached picture).
substituting the values for A, B, C and (x, y) from the previous step:
d = | (2)(-2) + (-1)(0) + (-4) | / √(2² + (-1)²)
d = | -4 + 0 - 4 | / √(4 + 1)
d = | -8 | / √5
d = 8 / √5
d = 3.5777
d = 3.58 (rounded 2 dec. pl)
