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
Studentka2010 [4]
3 years ago
5

From the top of a building, the angle of elevation to the top of a nearby building is 28° and the angle of depressions to the bo

ttom of the nearby building is 48°. The distance between the two buildings is 50m, as shown in the diagram below. What is the height of the taller building, to the nearest tenth of a metre?
Mathematics
1 answer:
kicyunya [14]3 years ago
6 0

Answer:

Step-by-step explanation:

The idea here is to find the value for x and y, then add them together. See the pic I attached below. We will solve for side x first.

Side s is across from the reference angle of 48 degrees; side measuring 50 m is adjacent to the reference angle 48 degrees. Therefore, we will use the tangent ratio to solve for x:

tan48=\frac{x}{50} and

50tan(48) = x so

x = 55.53m

Now we will do the same and solve for y. This time the reference angle is 28 degrees. Side y is opposite the reference angle and the side measuring 50 is adjacent to the reference angle, so we will use the tangent ratio again:

tan28=\frac{y}{50} and

50tan(28) = y so

y = 26.59. Therefore,

x + y = 55.53 + 26.59 and

the height of the taller building is

82.1 m

You might be interested in
Fiona made a score of 76 on her midterm exam for her to get a b in the course the average of her midterm exam and final exam mus
qaws [65]

Answer:

84 <= x <= 102

Step-by-step explanation:

Fiona scored 76 on her 1st midterm. Lets call x the score she will get on her 2nd exam.

We know she needs between 80 and 89 inclusive so get a b. So the question is, how much does she need to get on the 2nd test? Or, what values x can take for her to get a b?

The average she gets between both test is the arithmetic mean, this is, the sum of both tests divided by 2:

(76+x)/2

So, she need this value to be between 80 and 89. Lets use inequalities:

80 <= (76+x)/2 <= 89

We can solve it in a similar way we do for equalities. Lets start by multiplying terms in every side by 2, to eliminate the 2 dividing the central term:

2*80 <= 76+x <= 89*2

160 <= 76+x <= 178

Now, lets subtract 76 in every side so we get x alone in the center:

160 - 76 <= x <= 178 - 76

84 <= x <= 102

This is, for getting a b she need her second score to be equal or greater than 84 and less or equal to 102.

Lets verify for some values. For example, if she gets 88:

(76+84)/2 = 160/2 =80---> verifies!

And any value greater than 84 will give her a better score. Lets see what happens with 102"

(76+102)/2 = 178/2 = 89 ---> verifies

Any score greater than 102 will giver here a total sore greater than 89 so it won't be a b.

So, if she scores 102 she will get 89 (the statement does not say the range of scores, it is not usually common that the pass 100, but as the statement does not restrict it we consider here. We the maximum score is 100 we will use 84 <= x <= 100).

3 0
3 years ago
What is 1/8 as a decimal?<br><br> Give your answer.
Ganezh [65]

Answer:

  • 0.125

Step-by-step explanation:

Please mark Brainliest! :)

6 0
2 years ago
Read 2 more answers
What is the domain of g? ​
aleksandr82 [10.1K]

Answer:  The domain of G  is 4

Step-by-step explanation:

The domain is the set of all inputs that makes the function definable. The domain is always represented on the  x axis.So looking at g on its x axis you see 4. So the domain is 4.

7 0
3 years ago
Simplify the expression. Write the answer using scientific notation.
tiny-mole [99]

9 \times  {10}^{5}  \times 3 \times  {10}^{10}   = 27 \times  {10}^{15}  = 2.7 \times  {10}^{16}
3 0
3 years ago
This circle is centered at the origin, and the length of its radius is 10. what is the circle's equation?
Yakvenalex [24]

The equation of the circle that you are looking for is x^2 + y^2 = 100.

You can find this by using the base formula for a circle:

(x - x1)^2 + (y - y1)^2 = r^2

In which x1 is the x-coordinate of the origin, y1 is the y-coordinate of the origin, and r is the radius. So we put in the values we know and simplify.

(x -0)^2 + (y - 0)^2 = 10^2

x^2 + y^2 = 100

6 0
3 years ago
Read 2 more answers
Other questions:
  • Quentin is planning a party. The event coordinator charges a base fee of $67 and an additional $18.50 per party guest. If Quenti
    10·1 answer
  • What will you get when you add two integers
    15·2 answers
  • Dr. E. Quation says the Infant Mortality Rate of Korea shown by the expression; 7(m + 3) - 2. Is equal to his criminal success r
    12·1 answer
  • Choose the problem with the same relationship that is modeled by the graph
    8·1 answer
  • Which of the following expressions is correct? <br> |-37|=37<br> -|37|=37<br> |-37|=37<br> -|-37|=37
    14·2 answers
  • How do we use the question as the example
    12·1 answer
  • Every column of AB is a combination of the columns of A. Then the dimensions of the column spaces give rank(AB) ≤ rank(A). Probl
    13·1 answer
  • Help help please help
    12·1 answer
  • Help me please
    6·1 answer
  • What value of x makes this statement true?<br> 3x=2x+12<br><br> A) 2<br> B) 5<br> C) 6<br> D) 12
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!