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
valina [46]
3 years ago
13

With reference to the figure, sin x =

Mathematics
2 answers:
TEA [102]3 years ago
7 0
Cos y = 16 / 17.89 = 0.8944
y = cos^-1 (0.8944) = 26.57°

tan 26.57 = BA / 17.89
BA = 17.89 tan 26.57 = 8.95

tan x = 17.89 / 8.95 = 1.999
x = arctan 1.999 = 63.43

sin x = sin 63.43 = 0.8944
Alla [95]3 years ago
4 0

Answer:

From the figure,

The length of BC = 17.89 unit and the length of DC =16 unit.

Now, find the angle y by using cosine function;

Cosine defines as the ratio of the adjacent side of a right triangle to the hypotenuse  

i.e  \cos = \frac{Adjacent side}{Hpotenuse}

from the triangle BDC;

Hypotenuse = BC =17.89 unit and Adjacent side = 16 units

then;

\cos y =\frac{16}{17.89} =0.894354388 or

y =\cos^{-1} (0.894354388) = 26.57^{\circ} (nearest to hundredths place)

Now, find the value of angle x;

In right angle ΔABC;

The sum of measures of the three angles in triangle ABC is 180 degrees.

\angle A + \angle B +\angle C =180^{\circ}                    ....[1]

from the given figure, \angle B=90^{\circ}, \angle A =x^{\circ} and

\angle C =y=26.57^{\circ}

Substitute these in [1] to solve for  angle x;

x^{\circ}+90^{\circ}+y^{\circ} =180^{\circ} or

x^{\circ}+90^{\circ}+26.57^{\circ} =180^{\circ}

or

x^{\circ}+116.57^{\circ} =180^{\circ}

Simplify:

x^{\circ}=180^{\circ}-116.57^{\circ}=63.43^{\circ}

We have to find the value of sin x;

then;

The value of \sin 63.43 =0.89438856.


You might be interested in
ou have just used the network planning model for a county road resurfacing project and found the critical path length is 40 days
Anna007 [38]

Answer:

  53 days

Step-by-step explanation:

A suitable probability calculator shows the 90th percentile to be 52.8 days, approximately 53 days.

8 0
2 years ago
Solve x² =-169<br> thank you so much to whoever hlps me
irina1246 [14]

Answer:

yor final answer is going to be 59

Step-by-step explanation:

59

7 0
3 years ago
Read 2 more answers
7 divided by 86 using long division
pogonyaev
The answer is about 12.2
6 0
3 years ago
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one poi
sergejj [24]

Answer:

54 three- point field goals

Step-by-step explanation:

184 points = <em>x </em>free throws and 3<em>y </em> three-point field goals

x= 22 free throws, each one is 1 point

184 - 22 = 162

162 ÷ 3 = 54

54=y

54 three point field goals

7 0
2 years ago
Read 2 more answers
Plz help me to answer
AVprozaik [17]

Answer:

for 3, 4 or both?

4. is probably zero

Step-by-step explanation:

Wait is 4 a question?

4 0
2 years ago
Read 2 more answers
Other questions:
  • The coach of a tennis team is holding tryouts and can take only 2 more players for the team. There are 5 players trying out. How
    14·1 answer
  • What type of angles are 6 and 8?
    6·2 answers
  • How is 6x² + 7 written in words
    8·2 answers
  • F={y | y is an integer and y greater than or equal to 2}
    9·1 answer
  • A recipe requires 5 cups of corn starch. You can only measure using 2/5 cups. How many 2/5 cups are needed for this recipe? Leav
    11·1 answer
  • Which statement explains whether or not the
    7·1 answer
  • Please help me with this
    6·2 answers
  • Find the value of x.<br> 120
    6·1 answer
  • HELP WHATS THE ANSWER FOR THIS, WILL MARK BRAINLIEST!!!
    14·1 answer
  • A friend offers to play a game, in which you roll 3 standard 6-sided dice. If all the dice roll
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!