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
pav-90 [236]
3 years ago
10

An observer in a hot air balloon sights a building that is 50 m from the balloon's launch point. The balloon has risen 165 m. Wh

at is the angle of depression from the balloon to the building? Round to the nearest degree

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0
Notice the picture,
recall your SOH, CAH, TOA
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}

you have,
opposite side, 165
adjacent side, 50
and the angle

that means, we'll need Mrs. tangent
thus 
\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(\theta)=\cfrac{165}{50}
\\ \quad \\
 tan^{-1}\left[ tan(\theta) \right]=tan^{-1}\left[ \cfrac{165}{50} \right]
\\ \quad \\
\theta=tan^{-1}\left[ \cfrac{165}{50}\right]
\\ \uparrow  \\
 \textit{angle of elevation}\iff\textit{angle of depression}

You might be interested in
An ancient culture had a solar calendar with a 365 day cycle and a religious calendar with a 292 day cycle. If the calendars bot
Scrat [10]
Make the Least common multiple (LCM) of 365 and 292:

365, 292 | 5
73, 292 | 2
73, 146 | 2
73, 73 | 73
1, 1 |\underline{5*2*2*73 = 1460}

Answer:
\underline{1460\:days\:will\:they\:next\:coincide}
3 0
3 years ago
What is the domain of the function for this situation?
raketka [301]

Answer:

There is no problem. If you put the problem then i'll help

Step-by-step explanation:

8 0
2 years ago
Matthew randomly picks 3 coins from his pocket. What is the probability of Matthew picking a dime, a dime, and a nickel in that
exis [7]
I would say 4 out of 20
7 0
3 years ago
The average yearly precipitation for Gulfport,
ivanzaharov [21]
5.441 inches every month I’m pretty sure
8 0
3 years ago
Find the absolute value of 2 and 2 3rd and negative 9 over 4
gayaneshka [121]

we are given

absolute value of 2 and 2 3rd and negative 9 over 4

Firstly , we need write it in terms of expression

2 and 2 3rd is

2+\frac{2}{3}

so, we get as

|2+\frac{2}{3} -\frac{9}{4} |

now, we can simplify it

Firstly , we will find common denominator

|\frac{2*12}{1*12} +\frac{2*4}{3*4} -\frac{9*3}{4*3} |

|\frac{24}{12} +\frac{8}{12} -\frac{27}{12} |

we can see that

all denominators are same

so, we can combine numerators

=|\frac{24+8-27}{12}  |

=|\frac{5}{12}  |

=\frac{5}{12}..............Answer

6 0
3 years ago
Other questions:
  • Find the circumference of a circle with a radius of 10 inches
    6·2 answers
  • What is the proportion for 2/3 and 8/10
    6·1 answer
  • The Jones family is driving from San Antonio, Texas, to Anchorage, Alaska, which is a distance of 4304 miles. They have already
    6·1 answer
  • Tysm if u help me :D
    14·1 answer
  • 6x + 9 = 27<br> what is x?
    15·1 answer
  • Use the function g(x) = -5x + 17 to answer the questions.
    14·2 answers
  • Find the missing values for each of the following 3 questions
    11·1 answer
  • Can someone help me solve these problems?
    15·1 answer
  • Three out of five attempts, Kyan ski's a 180° perfectly. What percent would describe his success?
    8·1 answer
  • How can 10% of 45 be used to determine 30% of 45?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!