Mathematics, 11.03.2020 01:50 cjjjjjjjjjjjjj

Does anyone know the answer?

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Answer from: efloyd04

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.

$tan \theta = \frac{oppositeside}{adjacent side}.$

Step 2:

The length of the opposite side = 42 meters.

The length of the adjacent side = (24 + x) meters.

$tan \theta = \frac{oppositeside}{adjacent side}, tan 48 = \frac{42}{24+x}, tan 48 = 1.1106.$

1.1106 (24+x) = 42, 26.6544 + 1.1106x = 42.

$1.1106x = 42 - 26.6544 = 15.3456, x = \frac{15.3456}{1.1106} = 13.8173.$

So the distance between C and D is 13.8173 meters.

Answer from: Quest

answer: h

step-by-step explanation:

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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