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TEA [102]
3 years ago
9

Help................​

Mathematics
1 answer:
Rina8888 [55]3 years ago
4 0

Answer:  DB is 5

Step-by-step explanation:

Alright, lets get started.

Since given that AD is parallel to CB.

And AB is parallel to CD.

And the angle A is given as 90°

It means the given figure is a rectangle.

And the diagonals of the rectangle are equal to each other.

So, DB=AC

So, DB=5

Hence the answer is 5 ...     Answer

Hope it will help :)

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To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

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