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
djverab [1.8K]
3 years ago
12

Need help with this trigonometry word problem

Mathematics
2 answers:
monitta3 years ago
5 0

Answer:

\huge \boxed{ \boxed{ 50 \sqrt{3} \:  or \: 86.6}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • trigonometry
  • PEMDAS
<h3>let's solve:</h3>

to find the height we need to use tan function because we are given adjacent and angle and we need to figure out opposite (height) \tan(\theta)=\dfrac{opposite}{adjacent}

let opposite be AC

let adjacent be BC

according to the question:

\quad \:  \tan( {60}^{ \circ} )  =  \dfrac{AC}{BC}

now we need a little bit algebra to figure out AC (height)

  1. \sf \: substitute \: the \:  given\: value \: of \: BC :  \\ \tan( {60}^{ \circ} )  =  \frac{AC}{50}
  2. \sf sustitute \: the \: value \: of \:  \tan(  {60}^{ \circ} ) \:   i.e \:   \sqrt{3}  :  \\  \sqrt{3   }  =  \frac{AC }{50}
  3. \sf cross \: multiplication:  \\ 50 \sqrt{3}  = AC
  4. \sf swap \: sides \: (your \: wil) :  \\ AC = 50 \sqrt{3}  \\AC = 86.6 \: ( \sf  \: decimal \: if\: needed)

\text{we are done!}

kobusy [5.1K]3 years ago
4 0

Answer:

86.6

Step-by-step explanation:



Here, AB represents height of the building, BC represents distance of the building from the point of observation.

In the right triangle ABC, the side which is opposite to the angle 60 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse side (AC) and the remaining side is called adjacent side (BC).

Now we need to find the length of the side AB.

tanθ  =  Opposite side/Adjacent side

tan 60°  =  AB/BC

√3  =  AB/50

√3 x 50  =  AB

AB  =  50√3

Approximate value of √3 is 1.732

AB  =  50 (1.732)

     AB  =  86.6 m

So, the height of the building is 86.6 m

You might be interested in
???????????????????????????
anygoal [31]

the answer should be the third option


6 0
3 years ago
An airplane has a maximum capacity of 118 passengers. The flight attendant has loaded 40 passengers. Which inequality represents
kupik [55]

Answer:

118-40=78

p either is less tham or equal to 78

the answer is c

7 0
3 years ago
Monica's credit card statement showed that she owed
amm1812

Answer:

-250+200-38+15

-250+200=-50

-50-38=-88

-88+15=-73

Her new balance is $-73

6 0
3 years ago
What 3/16 turned into a decimal and 5/48 turned into a decimal
Ira Lisetskai [31]
A way to do it is like this. Numerator divided by denominator so 3 divided by 16 which is .187.

5 divided by 48 is .0146      with the six repeating
7 0
2 years ago
Read 2 more answers
4x-2/6 = 5/3<br>anyone got a clue ?​
Novosadov [1.4K]

\frac{4x - 2}{6}  =  \frac{5}{3}  \\  \\ 3(4x - 2) = 6 \times 5  \\ 12x - 6 = 30 \\ 12x = 30 + 6 \\ 12x = 36 \\ x =  \frac{36}{12} \\   \\ x = 3

.... Hope this will help....

5 0
3 years ago
Read 2 more answers
Other questions:
  • Convert to the opposite units.​
    12·1 answer
  • What is the simplified expression for 3^3 . 3^3/3^4
    14·1 answer
  • Write the contrapositive of the conditional statement. If it is January, then there are 31 days this month.
    14·2 answers
  • What value is missing from the table?
    7·2 answers
  • Which of the following is a complex number?
    8·1 answer
  • I dont like percents , please help. Thank you
    9·2 answers
  • Convert 1.5% to decimal and a fraction. Show and explain your method
    9·1 answer
  • A colony of 500 bacteria doubles in size every 200 hours. What will the population be 400 hours from now?​
    6·1 answer
  • Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to 5.4% of her annua
    15·2 answers
  • Suppose f(x)=2^x. What is the graph of g(x)=1/3f(x)?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!