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
musickatia [10]
3 years ago
5

Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bo

ttom of the shorter building is 48degrees and from the bottom, the angle of of elevation of the top of the shorter building is 36 degrees. Calculate the difference in the heights of the buildings
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

4.61 m

Step-by-step explanation:

The angle of depression of the bottom of the shorter building from the top of the taller building = 48° equals the angle of elevation of the top of the taller building from the bottom of the shorter building

Using trig ratios

tan48° = H/d where H = height of taller building and d = their distance apart = 12 m

H = dtan48° = 12tan48° = 13.33 m

Also, the angle of elevation of the top of the shorter building from the bottom of the taller building is 36°

Using trig ratios

tan36° = h/d where h = height of shorter building

h =dtan36° = 12tan36° = 8.72 m

Now, the difference in height of the buildings is thus H - h = 13.33 m - 8.72 m = 4.61 m

You might be interested in
Nine times the difference of a number and one is equal to seven less than two times the number
Oksana_A [137]
9*(x-1)=2x-7
First get rid of your parenthesis by distributing. 
9x-9=2x-7
Then all you have to do is isolate the variable
9x=2x+2
7x=2
so x= 2/7


8 0
3 years ago
What is the answer two 12345x 133
elena55 [62]

Answer:

1641885

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I had this function question that I just don't understand. Can someone explain it please
Zarrin [17]

Answer:

oopsie delete this

Step-by-step explanation:

3 0
3 years ago
Please answer these questions asap please!!! Thank you!
Len [333]

Answer:

a= 1%

b= 0.1%

c= 0.1875% probably have to round

Step-by-step explanation:

a= 2/2= 1

B= 1/10=0.1

c= 1.5/8= 0.1875

6 0
3 years ago
What is the missing length?
skad [1K]

Answer:

6.1

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) * h  where b1 and b2 are the lengths of the bases

108.6 = 1/2 ( 12+p) *12

108.6 = 6 (12+p)

Divide each side by 6

108.6 /6 = 12+p

18.1 = 12+p

Subtract 12 from each side

18.1-12 = 12+p-12

6.1 = p

4 0
2 years ago
Other questions:
  • Can you please help me with this ? I thought I understood today but still not on target with it .
    12·1 answer
  • Point M is the midpoint of segment AB. If AM = 2x + 5 and MB = 5x – 22, find the value of x.
    8·2 answers
  • Find the area of a rectangle with the verticies A(-1,-1) B(0,-3) C(4,-1) D(3,1)
    12·1 answer
  • What does a probability distribution​ indicate? choose the correct answer below.
    6·1 answer
  • Which statements is true
    6·2 answers
  • PLEASE HELP
    13·1 answer
  • I’ll mark brainliest!!
    13·2 answers
  • What is the equation of the line that passes through the point (-2, -2) and has a<br> slope of 4?
    5·1 answer
  • Write the equation 3x+2=4x²​ in standard form.
    8·1 answer
  • Rachel has a drawerful of pop, rock, metal, and country CDs. The table gives the probability of randomly picking a CD of each ty
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!