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
Levart [38]
3 years ago
6

HELP PLEASE!! As John walks 16 ft towards a chimney, the angle of elevation from his eye to the top of the chimney changes from

30° to 45°. Identify the height of the chimney from John's eye level to the top of the chimney rounded to the nearest foot.

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer: 22 feet.

Step-by-step explanation:

Note that there are two right triangles in the figure attached: ACD and BCD. Where "h" is the height of the chimeney  from John's eye level to the top of the chimney.

You need to use the trigonometric identity tan\alpha=\frac{opposite}{adjacent} for this exercise.

  • For the triangle BCD:

tan(45\°)=\frac{h}{x}

Solve for h:

h=xtan(45\°)\\h=x

  • For the triangle ACD:

tan(30\°)=\frac{h}{x+16}

Substitute h=x and solve for h:

tan(30\°)=\frac{h}{h+16}\\\\(h+16)(tan(30\°))=h\\\\0.577h+9.237=h\\\\9.237=h-0.577h\\\\9.237=0.423h\\\\h=\frac{9.237}{0.423}\\\\h=21.836ft

Rounded to the nearest foot:

h=22ft

You might be interested in
Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A
valentina_108 [34]
<h3><u>Answer:</u></h3>

The formula determine the distance from C to D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

<h3><u>Step-by-step explanation:</u></h3>

The formula that can be used to determine the distance from point C to point D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

\sqrt{(c-a)^2+(b-d)^2}

So, here we have:

(a,b)=(a,b) and (c,d)=(0,b)

3 0
3 years ago
At midnight, the temperature was 30 degrees F. By 6:00 a.m., it had dropped 5 degrees and by noon, it had increased by 11 degree
spayn [35]

Answer: 36 degrees


Step-by-step explanation:

subtract 5 from 30=25

add 11 to 25

25+11=36



3 0
3 years ago
Two fractions with different denominators that have the sum of 1/3
klemol [59]
1/4. and. 1/12. will do that.
3 0
3 years ago
Lowest common multiple of 4 and 10
atroni [7]

Answer: 20


Step-by-step explanation:

2^2=4

5*2=10


2^2 and 5 would be multiplied

8 0
3 years ago
Read 2 more answers
Help me with geometry​
melisa1 [442]

Answer:

What question do you need help with?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • -3s -5=4 what is this problem
    9·2 answers
  • Combine similar terms and apply the operation. Do NOT evaluate or simplify.
    12·1 answer
  • (2-5i)(4+7i)? How do u do this? HELPPPPPPPP
    6·1 answer
  • Evaluate the expression 3xy - 2x^2 for x=4 and for y = 3<br><br> helpp
    13·2 answers
  • Please help me will give brilliant ​
    8·1 answer
  • HURRY
    6·2 answers
  • Help pls math ppl<br> Thank
    14·1 answer
  • Please help me with this question asap
    13·1 answer
  • Work out the area of the shaded shape
    10·1 answer
  • Point B is in between A and C in a segment. AB= 22 and BC=30 Find AC
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!