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
ExtremeBDS [4]
3 years ago
14

In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest inch.

Mathematics
1 answer:
dalvyx [7]3 years ago
6 0

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

m\angle G+m\angle H+m\angle I=180^\circ

30^\circ+29^\circ+m\angle I=180^\circ

59^\circ+m\angle I=180^\circ

m\angle I=180^\circ-59^\circ

m\angle I=121^\circ

According to Law of sines,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using Law of sines, we get

\dfrac{h}{\sin H}=\dfrac{i}{\sin I}

\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}

\dfrac{300}{0.4848}=\dfrac{i}{0.8572}

Multiply both sides by 0.8572.

\dfrac{300}{0.4848}\times 0.8572=i

530.44554=i

i\approx 530

Therefore, the length of i is about 530 inches.

You might be interested in
A Triangle has an area of 36cm^2. The base and height are scaled by a factor of 5. What is the area of the resulting triangle?
Finger [1]

Answer:

Area of resulting triangle  will be 900 cm^2.

Step-by-step explanation:

When sides of  any polygon if scaled by a factor of k

then area is scaled by k^2

According to the above statement

therefore  here in the question since area of original triangle was 36cm^2

and both  base and height are scaled by a factor of 5.

therefore area of scaled triangle will be 5^2 times of the original

that is 25 x 36 which gives 900 cm^2

So area of resulting triangle will be 900 cm^2


7 0
3 years ago
How do you factorise fully x³-x
Harman [31]

Answer:

=x³-x

=x(x²-1)

=x(x²-1²)

=x(x+1)(x-1)

hope it helps.

4 0
2 years ago
What are some Examples of similar triangles or polygons that you may see in the real world?
Fofino [41]

Answer:

You can see objects, nd buildings that have those shapes, and roof tops.

Step-by-step explanation:


8 0
3 years ago
Solve A = p(1+rt) for t
Svetlanka [38]
A = p(1 + rt)
A/p = 1 + rt
rt = A/p - 1
t = (A/p - 1)/r
7 0
3 years ago
A number decreased by 3 times the sum of a number and 2 is 306
Veronika [31]
What grade are you in

4 0
3 years ago
Other questions:
  • the histogram shows the number of people who viewed each showing of scary night at one movie theater during its opening week the
    14·1 answer
  • 50 points for who ever helps <br> 5√x 14 <br> simplify
    5·2 answers
  • the vertex of this parabola is at (4,-3). When the x-value is 5, the y-value is -6. what is the coefficient of the squared expre
    7·1 answer
  • I need help please with 3^4•12^-1•5^0
    9·1 answer
  • For a binomial probability distribution, it is unusual for the number of successes to be less than μ − 2.5σ or greater than μ +
    5·1 answer
  • Is this statement true or false?
    14·2 answers
  • om each drop-down menu. Megan's commute to work includes an 8-mile drive and a 21-mile train ride. This expression can be used t
    7·2 answers
  • I NEED HELP ASAP PLEASE THIS IS DUE IN AN HOUR
    11·2 answers
  • If CD is not parallel to EF, what is m2C?
    14·1 answer
  • Trigonometry PLEASE HELP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!