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
bagirrra123 [75]
3 years ago
10

From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

of depression of the base of the building is 12 deg 50min. Find the height of the building.

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ 1\text{ minute } =\frac{1}{60}\text{ degree }

20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}

50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}

By the below diagram,

tan ( 12^{\circ} 50') = \frac{8.20}{y}

tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}

tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}

\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}

Now, again by the below diagram,

tan (31^{\circ}20')=\frac{x}{y}

tan(31+\frac{1}{3})=\frac{x}{y}

\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

You might be interested in
How to find the rate in exponential growth formula A=P(1-r)^t
erma4kov [3.2K]
R = rate
A = P(1-r)^t
A^t = P(1-r)
A^t/P = 1-r
(A^t/P)-1 = -r
r = -((A^t/P)-1)
8 0
3 years ago
What is the square root of 98/2
timurjin [86]

Answer:

7

Step-by-step explanation:

\sqrt{ \frac{98}{2} }  =  \sqrt{49 }  = 7

I hope it helped you

8 0
2 years ago
In which quadrant or on which axis each of the following points lie.
AlekseyPX

Answer:

(-3,5) Quad 2

(4,-1) Quad 4

(2,0) Positive X axis

(2,2) Quad 1

(-3,-6)​ Quad 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Simplify <br> 2/3(30d-15)<br> Can someone please explain distributive property with fractions?
Oksana_A [137]

Answer:

You do 2/3 times 30d minus 2/3 times 15. That will give you 20d - 10

Step-by-step explanation:

(2/3x30d) - (2/3x15) = 20d - 10

7 0
3 years ago
Evaluate x if:<br>(i) 36x = 782 - 42<br><br>​
Ratling [72]

Answer:

36x=740

x=740/36

x=20.55

Hope it helps

5 0
3 years ago
Other questions:
  • How many days is 50 years?
    11·2 answers
  • Please help me with this question
    9·1 answer
  • What is the value of the expression below -0.75-(-2/5) + 0.4 + (-3/4) help please!!
    7·1 answer
  • Yuki wants a display that shows the spread of data above and below the median.
    12·1 answer
  • How do I do these questions?
    15·1 answer
  • $262 to the markup rate of 30% what is the final price?
    12·2 answers
  • If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side
    8·1 answer
  • All the cubes root of <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%20%2B%20i%7D%20" id="TexFormula1" title=" \sqrt{3 + i
    6·1 answer
  • I need help it’s for a very hard test
    15·1 answer
  • X+a=3/4<br> How do I solve for x first then a
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!