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
Paraphin [41]
3 years ago
9

Two planes are circling an airport awaiting their landing clearance. If the following measures in the diagram below are correct,

how far are the two planes away from each other? Find the distance from Point D to Point C. (Hint: Start by finding length AC).
A. 2800 feet


B. 4557 feet


C. 5796 feet


D. 6132 feet

Mathematics
2 answers:
malfutka [58]3 years ago
4 0
I’m pretty sure the answer is 4557 feet :)
RideAnS [48]3 years ago
4 0

Answer:

<h2>B. 4557 ft</h2>

Step-by-step explanation:

In this problem we have to types of triangles. We have a right triangle and a not right triangle.

The side we have to find is part of the not right triangle, so there we would have to use the law of cosines. However, that triangle isn't complete. So, we first have to find the hypothenuse of the right triangle AC, and then apply the law of cosines for the upper triangle.

We have to apply trigonometric reasons to find the hypothenuse, because we know only one side and one angle of the right triangle. So,

sin28\°=\frac{1800}{AC}\\\\ AC=\frac{1800}{sin28\°}=3834ft

Now we have AC, we apply the law of cosines to the upper triangle ACD

CD^{2}=AC^{2}+AD^{2}-2AC.AD.cos34\°\\  CD=\sqrt{(3834)^{2}+(7200)^{2}-2(3834)(7200)(cos34\°)}\\CD=4557ft

Therefore, the right answer is B. 4557 ft.

You might be interested in
Alexa can blow 15 balloons in 20 minutes. Sara can blow 18
mylen [45]

rate of blowing balloons of Alexa = 15/20 = 0.75

rate of blowing balloons of Sara = 18/25 = 0.72

rate of blowing balloons of Shirley= 16/21 = 0.76

rate of blowing balloons of Sam = 12/23 = 0.52

from above calculation we concluded Shirley can blow balloons at the fastest rate!

3 0
2 years ago
What is 0.9 10 times as much as what
BabaBlast [244]
9x1 at least I think
4 0
3 years ago
Simplify the expression given below: (18x^3-7)-(14x^3-36)
vovangra [49]

Answer:

2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4

Step-by-step explanation:

6 0
2 years ago
In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the e
GalinKa [24]
45-45+56=56 XX_BoxercarnXXJay is my roblox username if you want to be friends
4 0
2 years ago
-(b - 3) = -6(-2b - 7)
Georgia [21]

Answer:

b=-3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • A car can travel 32 miles for each gallon of gasoline. The function ​d(x)equals=32x represents the distance​ d(x), in​ miles, th
    7·1 answer
  • Graph x+5y=4 solve for x and y.
    12·1 answer
  • If you are given the lengths of two sides of a right triangle and do not know the angle measures of any angle besides the right
    15·2 answers
  • A survey found that 78% of students do their homework before 10:00 P.M. Predict how many students out of 975 do their homework b
    12·1 answer
  • Solve:<br> K(k+1) - 3k(k+1)
    13·2 answers
  • 18+17+16+15+14+13+12+11+10 what is the answer​
    12·1 answer
  • Which rule has a scale factor of 3 and shifts the shape 4 units left and 2 units down?
    9·1 answer
  • Dada una distribución t de Student con 15 grados de libertad, calcule el valor de t1 tal que a) el área a la derecha de t1 sea 0
    9·1 answer
  • (3-i)/(3+i)<br> ayudenme por fa
    7·1 answer
  • Blake and Jacob went shopping for
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!