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.