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alisha [4.7K]
3 years ago
15

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl

agpole, as shown below: Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole. Angle ADB measures 60 degrees and angle BDC measures 30 degrees. The length of DC is 10 multiplied by square root of 3. Angle ADC measures 60° and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

Mathematics
2 answers:
BigorU [14]3 years ago
6 0
You have two 30-60-90 triangles, ADC and BDC.

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse
     1        :  sqrt(3)  :        2

Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC

First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30

Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10

AB = AC - BC = 30 - 10 = 20
aev [14]3 years ago
5 0

Answer:

the answer is 20 took the test

Step-by-step explanation:

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schepotkina [342]

Answer:

2y-5x =10\\when \ x = 0,  \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \  coordinates \  of \ the \  points \ p \ and  \ q\   are  \ (0, 2) \ and  \  (-2, 0)

7 0
3 years ago
YALL I NEED HELP ASAP!!
Elodia [21]

Answer:

32

Step-by-step explanation:

You use angle chasing. Since a triangle's angle has to add up to 180, the other angle is 180-79-69. This gives 32. So angle E is 32 degrees. Since they are parallel, that means that E equals to D. That means that D is 32, so 32 is now the answer.

HAPPY NOW BRAINLY? I JUST DIDN'T ADD AN EXPLANATION ON THE OTHER ONE AND YOU DELETED IT! I GOT BRAINLIEST!  HE STILL GOT THE ANSWER ANYWAYS.

3 0
3 years ago
The function f(t)=t^2+12t-18 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show y
ale4655 [162]
The function in vertex form is f(t) = (t+6)^{2} -54 (refer to your other post I solved it there).
The general form of quadratic equations in vertex form is f(x) = a(x-h)^{2} +k, where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.
6 0
3 years ago
HELP ASAP. WILL GIVE BRAINLIEST.
Delvig [45]

Answer:

thr solutions of the answer is x5,they try

3 0
3 years ago
A zoo is keeping track of the weight of a baby elephant.the table shows the weight for the first, second, third, and fourth week
True [87]

Hello!

I would say the second option, because it looks like the most reasonable one.  The third and fourth options decrease, but we can see by the chart that in fact, the weight increases. Also, it wouldn't be the first option, because its showing that the wight is always constant and rate doesn't change. However, we can see that this is wrong and the rate actually does change.  Therefore, the second option looks like the most reasonable for this chart.

Hope this helps!

5 0
3 years ago
Read 2 more answers
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