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
Dovator [93]
3 years ago
12

to find the distance between a point x and an inaccessible point​ z, a line segment xy is constructed. measurements show that xy

=966 ​m, angle xyz​=38°24', and angle yzx=94°6'. find the distance between x and z to the nearest meter.

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

Answer:

\approx \bold{602\ m}

Step-by-step explanation:

Given the following dimensions:

XY=966 ​m

\angle XYZ​ = 38°24', and

\angle YZX = 94°6'

To find:

Distance between points X and Z.

Solution:

Let us plot the given values.

We can clearly see that it forms a triangle when we join the points X to Y, Y to Z and Z to X.

The \triangle XYZ has following dimensions:

XY=966 ​m

\angle XYZ​ = 38°24', and

\angle YZX = 94°6'

in which we have to find the side XZ.

Kindly refer to the image attached.

Let us use the Sine rule here:

As per Sine Rule:

\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

\dfrac{XZ}{sin\angle Y} = \dfrac{XY}{sin\angle Z}\\\Rightarrow \dfrac{966}{sin94^\circ6'} = \dfrac{XZ}{sin38^\circ24'}\\\Rightarrow XZ=\dfrac{966}{sin94^\circ6'} \times sin38^\circ24'\\\Rightarrow XZ=\dfrac{966}{0.997} \times 0.621\\\Rightarrow XZ=601.69 \m \approx \bold{602\ m}

You might be interested in
Y=2(x-2)^2+7<img src="https://tex.z-dn.net/?f=y%3D2%28x-2%29%5E2%2B7" id="TexFormula1" title="y=2(x-2)^2+7" alt="y=2(x-2)^2+7" a
JulsSmile [24]
If you’re find the y-intercept the answer is: y=15
5 0
3 years ago
Heellppppp anyone know ow to slove this??
jekas [21]

Answer:

YA I KNEW IT UUUUUUUUUUUUUU

3 0
3 years ago
Witch set of numbers could represent the side lengths of a right triangle
EastWind [94]
C. 6,9,12 I hope this helps! :)
8 0
3 years ago
6k ÷ 7 = -3<br> Solve for k
fomenos

Answer:

k = -3.5

Step-by-step explanation:

6k ÷ 7 = -3

Multiply 7 to both sides

6k = -21

Divide both sides by 6

6k/6 = -21/6

k = -3.5

To check if the answer is correct or not, you can always plug in -3.5 for k in the equation.

6(-3.5) ÷ 7 = -3

-21 ÷ 7 = -3

-3 = -3

-3 equals -3 so it is correct that k = -3.5

4 0
3 years ago
Dan earns £9.80 per hour. How much will he earn for 8 hours work?
jok3333 [9.3K]

Answer:

78.40

Step-by-step explanation:

Take 9.80 and times it by 8 to get 78.40

7 0
3 years ago
Read 2 more answers
Other questions:
  • There are 80 students in a school. Every student is taking either algebra or pre-calculus, and some students are taking both. Th
    15·1 answer
  • What integer describes gaining 5 pounds?
    12·1 answer
  • 4
    14·1 answer
  • Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of $10 from each
    15·1 answer
  • Find the balance on a deposit of $500 that earns 6% simple interest for 3 months.
    7·2 answers
  • Simplify the expression. -|-15|=__​
    9·2 answers
  • How do you work out this problem using completing the square x2 - 4x - 80 = 0
    5·2 answers
  • Each figure below represents a fraction. Which figure is NOT equivalent to
    10·2 answers
  • Can someone help please and thx:) !
    10·1 answer
  • Help pls I will give brainliest :3
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!