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
Ede4ka [16]
3 years ago
5

What is the length of bc ? Round to the nearest tenth.

Mathematics
2 answers:
enyata [817]3 years ago
4 0
Draw a line from 65 to the opposite side you get X and 16 is the hypotenuse
So this sine opposite over hypotenuse

Sin (65)= X/ 16
Sin (65) times 16 is 14.5
Ierofanga [76]3 years ago
4 0

The length BC is \boxed{14.5\:\text{cm}}.

Explanation:

The given triangle is a right angle triangle at angle C and the angle A equals 65^{\circ}.  

In a right angled triangle, the two sides which make the right angle or which are perpendicular, are called the base and the height of the right angle triangle. The third side, the largest of the three is called the hypotenuse of the right angled triangle.  

From the figure, it is observed that AC is the base, BC is the height and AB is the hypotenuse.

The formula for trigonometric identities \sin(\theta), \cos(\theta) and \tan(\theta), where \theta is the angle between hypotenuse and base, is as shown below.

\sin\theta =\dfrac{\text{Height}}{\text{Hypotenuse}}\\\cos\theta=\dfrac{\text{Base}}{\text{Hypotenuse}}\\\tan\theta=\dfrac{\text{Height}}{\text{Base}}

Substitute 65^{\circ} for \theta, 16 for hypotenuse and x for height in the formula for sine of angle \theta.

\boxed{\begin{aligned}\sin(65^{\circ} )& = \dfrac{x}{16}\\0.906307787 \cdot 16& = x\\x&=14.5\end{aligned}}

Thus, the length of the side BC is \boxed{14.5\:\text{cm}}.

Learn More:

1. Learn more about speed, distance and time brainly.com/question/2898741

2. Learn more about linear equation application brainly.com/question/2479097

3. Learn more about percentages brainly.com/question/8577699

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Trigonometry

Keywords: trigonometry, right angle, base, height, hypotenuse, sine, triangle, \theta, length, side, angles.

You might be interested in
PLs i need help with this emergency
sasho [114]

Answer:

11, 15

Step-by-step explanation:

6 0
2 years ago
Celine's Cereal Company is launching a new brand of cereal and she is considering two different sizes for the base of the boxes.
densk [106]

The dimensions of the base of Box 1 are x by 3x.


The base area of Box 1 is:

3x^2

6 0
3 years ago
Read 2 more answers
Mr.Daniels left at 2:15 pm and arrived at 11:50 pm what was his travel time
cluponka [151]
9 hrs and 35 minutes he would have traveled. Hope I helped.
6 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Roman55 [17]

Answer:

A

Step-by-step explanation:

if these are fractions than its A.

2x-4=2

4x-5=5/4

6 0
2 years ago
One eighth of Tony's books are mystery books. He has 3mystery books. How many books does tony have in all?
Anit [1.1K]
If one book = 1/8, then you can just multiply it by 3, for the three mystery books. 8x3= 24, so tony has 24 books in all.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Use the figure to answer the questions below.
    5·1 answer
  • Jeb has to pay a plumber $65 to come to his house and $40 per hour after that .write an equation for the cost (y) based on the n
    12·2 answers
  • Josey got an answer of 167 r 4 for 3÷505. explain and correct joseys error
    13·2 answers
  • 15=3a answer for this question????
    10·1 answer
  • The lengths of babies born at Tarth Hospital in the last year were normally distributed. The mean length was 50 cm and the stand
    9·1 answer
  • If [infinity]∑n=0cn9n is convergent, does it follow that the following series are convergent? (a) [infinity]∑n=0cn(−3)n
    7·1 answer
  • Which expression is equivalent???<br><br> Please help!!
    9·1 answer
  • Does anybody know how to do repeating signs on big ideas math, like 67.8 repeating?
    15·2 answers
  • 6. 1,000 people were given a survey about their favorite pizza place in NYC. 200 said Lombardi's and the rest said Patsy's. a. W
    14·1 answer
  • Hayden has $20 to spend at the county fair. Admission to the fair is $5.00 per person, and tickets for food and games are $1.25
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!