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
Mice21 [21]
2 years ago
8

3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.

Mathematics
1 answer:
Oduvanchick [21]2 years ago
3 0

The exact area of triangle ABC is 93.51 cm².

The given parameters;

  • <em>Height of the triangle, h = 18 cm</em>

The base of the triangle is calculated by using trigonometry ratio as follows;

tan (30) = \frac{b}{18} \\\\

where;

  • <em>b </em><em>is the </em><em>base </em><em>of the </em><em>triangle ABC</em>

<em></em>

<em></em>b = 18 \times tan(30)\\\\b = 10.39 \ cm<em></em>

The area of the triangle ABC  with the calculated base and given height is calculated as follows;

A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: brainly.com/question/23945265

You might be interested in
an observer on a cliff 1200 feet above sea level sights two ships due East. The angle of depression to the shops are 48° and 33°
ziro4ka [17]
See the attached figure to better understand the problem

we know that
in the triangle ABC
tan 48°=AB/AC--------> AC=AB/tan48°------> 1200/tan 48°------> 1080.48 ft

in the triangle ABD
tan 33°=AB/AD---------> AD=AB/tan 33°-----> 1200/tan 33°------> 1847.88 ft

<span>the distance between the ships is AD-AC---> 1847.88-1080.48----> 767.4 ft

the answer is 
</span>the distance between the ships is 767.4 ft<span>

</span>

4 0
3 years ago
Place a check mark in the box next to each expression that is equivalent to 4^3
damaskus [11]
B, d, e, f

they all equal 64
7 0
3 years ago
1. Write a ratio and a percent for the shaded area. (1 point)
Kipish [7]

Answer:

3/10, 30%

Step-by-step explanation:

the shaded region is 9/30 which is equivilent to 3/10 and 3/10is 30 percent.

hope this helps!

8 0
3 years ago
What is 8.038 x 10^8 in standard form
Harlamova29_29 [7]
803800000 is the answer.
3 0
3 years ago
Read 2 more answers
What is the greatest common factor of 42, 56, and 112
VashaNatasha [74]

Answer: gcf, hcf, gcd (42; 112) = 14 = 2 × 7: greatest (highest) common factor (divisor), calculated.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Please what is the answer?
    11·1 answer
  • Consider the sequence of numbers 3/8,3/4, 1 1/8,1 7/8 Which statement is a description of the sequence?
    14·2 answers
  • Estimate 58% of 121 by using 10%
    7·2 answers
  • On a certain day, Tim invested $1,000 at 10 percent annual interest, compounded annually, and Lana invested 2,000 at 5 percent a
    15·1 answer
  • An expression is shown. 5 + 8 x 6 + 5 Create an equivalent expression, that includes a set of parentheses, so that the value of
    8·2 answers
  • What is 1/3 to the 2ed power
    6·2 answers
  • Someone find x for me lol
    10·1 answer
  • Help with this word problem???? :)
    6·1 answer
  • What value of m makes the triangles similar? A)6 B)9 C)1.5 D)5
    15·2 answers
  • In how many ways can 10 horses be arranged in a merry-go-round?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!