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
rosijanka [135]
2 years ago
8

What is the distance between B to A Please add the method. The angle is 61 (a bit blurry)

Mathematics
2 answers:
deff fn [24]2 years ago
3 0

Answer:

24.03 units (nearest hundredth)

Step-by-step explanation:

The distance between B and A is:  AB = AH + HB

We have been given AH, so we just need to find the measure of HB.

First, find the angle AOH using tan trig ratio:

\sf \tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle

Given:

  • \theta = ∠AOH
  • O = AH = 8
  • A = OH = 19.80

\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}

\implies \sf \angle AOH = 22.00069835^{\circ}

   ∠BOA = ∠BOH + ∠AOH

⇒ ∠BOH = ∠BOA - ∠AOH

⇒ ∠BOH = 61° - 22.00069835°

               = 38.99930165°

Now we can find HB by again using the tan trig ratio:

Given:

  • \theta = ∠BOH = 38.99930165°
  • O = HB
  • A = OH = 19.80

Substituting given values:

\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}

\implies \sf HB=19.80 \tan(38.99930165^{\circ})

\implies \sf HB=16.03332427

Therefore:

   AB = AH + BH

⇒ AB = 8 + 16.03332427

         = 24.03 units (nearest hundredth)

jekas [21]2 years ago
3 0
  • OH=1980

Now

  • tan61=BH/OH
  • tan61=BH/1980
  • BH=1980tan61
  • BH=3572(Rounded)

AB

  • 8+3572
  • 3580
You might be interested in
Simplify 81^5 = 3^х x=
Dominik [7]

Answer:

The answer for the value of x is, x=20

4 0
2 years ago
Read 2 more answers
How many soloutions does y=3x+1
katrin2010 [14]

Answer:

infinite points along the line

Step-by-step explanation:

This is the equation for a line.  A line has infinite points.  So there are infinite solutions along the line

3 0
3 years ago
2 1/7 - 1/14 =<br><br>I rlly don't understand ​
lutik1710 [3]

Answer:

2 1/14

Step-by-step explanation:

First, we will equalize the denominators of the fractions.

(1/7) × 2 = 2/14

Then we can solve this equation.

2 2/14 - 1/14 = 2 1/14

6 0
2 years ago
What is the equation of the line? Graph of a line in the coordinate plane through the origin and the point begin ordered pair 1
Margarita [4]

Here the line passes through (0,0) and (1,3).

First we need to find the slope , and for that we need to use the following formula

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

On substituting the values from the point, we will get

m=\frac{3-0}{1-0}=3

Now we will use slope intercept form, which is

y = mx+ b

Where m is the slope and b is the y intercept

And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get

3 = 3(1)+b

3=3+b

b =0

Substituting the values of m and b in the slope intercept form, we will get

y= 3x

4 0
3 years ago
Read 2 more answers
The are of a paraleelogram is 150 square meter. The height of the parallelogram is 15 meters. What is the lenht of the parallelo
Len [333]

Answer:

2,500

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • A scale drawing of Jack's living room is shown below:
    9·2 answers
  • A pair of badminton rackets was originally marked at $30 and has been sold $24. What was the percent of discount
    15·1 answer
  • Please help; I don't understand how to solve these inequality problems.
    9·2 answers
  • 3/12 and 5/x are equivalent ratios. Solve for x
    9·2 answers
  • If f(n)=n*2-n, then f(-4)is
    13·1 answer
  • The future population of a small european country of 14 million people
    9·1 answer
  • You randomly choose two shapes from the bag, with replacement. Find the probability of choosing two squares. Write your answer a
    13·2 answers
  • Which of the following rational functions is graphed below?
    10·2 answers
  • PLEASE HELP ME OUT !!!!
    9·1 answer
  • Which are true about the pyramid? Check all that apply.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!