1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Grace [21]
3 years ago
14

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 ADC measures 45 degrees, and angle BDC measures 30 degrees. The length of DC is 5 multiplied by square root of 3. Angle ADC measures 45°, and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?. A. 3.66 feet B.13.66 feet C. 8.66 feet D. 5 feet

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer:

  A.  3.66 feet

Step-by-step explanation:

Using trigonometry, we know that ...

  BC = DC·tan(30°)

  AC = DC·tan(45°)

  AB = AC -BC = DC(tan(45°) -tan(30°))

  AB = 5√3·(1 -√3/3) = 5(√3 -1)

  AB ≈ 3.66 . . . feet

You might be interested in
I found a place that will give me a 20 % discount if i spend over $50
anygoal [31]

You save $15


Work:

75 x 0.20 (20%) = 15

4 0
3 years ago
Which graph shows  y=1/2⌈x⌉
Nataly_w [17]
There you go. Y=1/2(x)

Hope this works for you

5 0
3 years ago
Which is the graph of the linear inequality 1/2 x-2y>-6 ?
larisa86 [58]

Answer:

<h2>Your Answer is C!!!!!!!!!</h2>

Steps:

\frac{1}{2} x-2y>-6

Add 2y to both sides:

\frac{1}{2} x-2y+2y>-6+2y

Simplify:

\frac{1}{2}x>-6+2y

Multiply both sides by 2:

2·\frac{1}{2}x>-2·6+2·2y

Simplify:

x>-12+4y

5 0
2 years ago
tina completed 2/3 of her homework.George completed 7/8 of his homework. Who completed a greater fraction if homework​
wariber [46]

Answer:

2/3 = 16/24

7/8 = 21/24

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Martin read 3,482 pages this month. Next month, he plans to read a total of 2,741 pages. How many pages will Martin read in the
Slav-nsk [51]
3482+2741= 6223 pages
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .?
    12·2 answers
  • According to Greg, perfect cherry pies have a ratio of 240 cherries to 3 pies. How many cherries does Greg need to make 9 perfec
    12·1 answer
  • the number of kilograms of water in a human body varies directly as the mass of the body an 84 kg person contains 56kg water how
    8·1 answer
  • What name is given to the price dealerships pay for vehicles
    8·2 answers
  • Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is n
    6·1 answer
  • 34 &lt; 5x + 9 &lt; 44<br> Inequality
    7·1 answer
  • Can someone help me with these questions please and thank you.
    7·2 answers
  • -4(y-2)=12 help please​
    8·2 answers
  • (98+3)+2 simplified?
    5·1 answer
  • If f(x) = 3(x+5) +-, what is f(a+2)?<br> xx, (a?<br> X
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!