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
Three times the difference of ten and a number is four.
Paul [167]

Answer:

3 (10-a) = 4 i think

Step-by-step explanation:

7 0
3 years ago
Which expression can be used to find the area of the rectangle shown on the coordinate plane?
Naily [24]
Answer:

8 * 7

Explanation:

When you count the squares along the area, you will find that the base is 8 units, and the height is 7 units. The area of a square is equal to base * height, so the correct answer is 8 * 7.
7 0
3 years ago
Read 2 more answers
How many times does it intersect on the graph? y=x^2+3x-2, y-x=4
FrozenT [24]
It intersects twice :)

3 0
2 years ago
The segment in this diagram that divides AB into two congruent parts is called a(n): A. angle bisector. B. parallel line C. perp
melamori03 [73]
C perpendicular bisector.
7 0
2 years ago
HELP ME !!!!!!!!!!!!!!!!!!!!!!!!!!
gogolik [260]

Answer:

Bye

Step-by-step explanation:

Figure it out yourself

4 0
3 years ago
Other questions:
  • The lucky storage company wants to ship materials from their current warehouse to a new warehouse. It will cost $2200.00 to rent
    10·1 answer
  • Find the measure of the marked angles.
    15·1 answer
  • Given the function, f (x) = sq3x+3+3, choose the correct transformation.
    7·1 answer
  • A triangle is rotated 90° about the origin. Which rule describes the transformation?
    10·1 answer
  • System of equations!!!
    5·1 answer
  • Solve for b: 4b + 8/ -2 = 10
    11·2 answers
  • Will mark brainliest! in kite UVWX, m
    7·1 answer
  • if you use synthetic division for this polynomial: 3x^5-12x^4+12x^3+30x^2-39x-42. What would the answer be?
    15·1 answer
  • If I turned 9 on November 9th, 2015, exactly how old am I now? (Oct 16th, 2021)
    6·1 answer
  • A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight. Clare and Tyler drew diagrams and
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!