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
aleksklad [387]
3 years ago
13

The angle of depression from the top of a building to a point

Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0

The distance between point on the ground from the top of the building is 396 meter, if the building is 280 m high and The angle of depression from the top of a building to a point  on the ground is 45 degrees.

Step-by-step explanation:

The given is,

                 The angle of depression from the top of a building to a point  on the ground is 45 degrees.

                 Height of the building is 280 meter.

Step: 1

                 Given diagram is a right angled diagram,

                 For right angle triangle,

                              90° = 45° + 45°    

                                     = 90°  

                 Trignometric ratio,

                            sin ∅ = \frac{Opp}{Hyp}....................(1)

                For the above ratio take the bottom angle, that is angle of depression from the top of a building to a point  on the ground is 45 degrees.

                 Where, Opp side = 280 meters

                               Hyp side = x

                                           ∅ = 45°

                 Equation (1) becomes,

                                  sin 45° = \frac{280}{x}

                          0.70710678 =  \frac{280}{x}

                                            x =  \frac{280}{0.70710678}

                                            x = 395.979

               Distance between point on the ground from the top of the building,  x ≅ 396 meter                                                

                Trignometric ratio,

                                     cos ∅ = \frac{Adj}{Hyp}

                                   Cos 45 = \frac{Adj}{396}

                                         Adj = (0.70710678)(396)

              Bottom length, Adj = 280 meter

Result:

           The distance between point on the ground from the top of the building is 396 meter.

You might be interested in
At your construction job, you're standing on a ladder at ground level. First, you climb down 7 feet to see the basement. Then yo
Semmy [17]
It is just 6 because make a number line to -22 and to 22 then you start negative 7 then move up 22 and then go down 9 THE ANSWER IS 6
7 0
3 years ago
Read 2 more answers
What is the midpoint of a segment whose endpoints are (-3, -3) and (-13, -13)
Nat2105 [25]
The midpoint of that segment is (-8,-8).
5 0
3 years ago
An ostrich that is 108 inches tall is 20 inches taller than 4 times the height of a kiwi. What is the height of the kiwi in inch
Westkost [7]
So you take 20 inches and times it by 4 which equals 80 inches. So then you would take to 80 inches and divide by 108. then you will get your answer.
8 0
3 years ago
How do i find the negative exponent
sesenic [268]

Answer:

always 1

Step-by-step explanation:


5 0
3 years ago
Please help me with this question
Alenkasestr [34]

Answer:

\sqrt{8 + y}

3 0
3 years ago
Other questions:
  • The __________ of a circle is the part of a circle bounded by two radii and an arc. circumference interior angle sector
    15·2 answers
  • Which algebraic rule describes the transformation?
    14·2 answers
  • Thank yallll. I actually really do
    7·1 answer
  • 15. MODELING REAL LIFE You use a computer
    15·1 answer
  • Question:
    8·1 answer
  • The store offers a 20% discount, The t- shirt is $18 and the discounted price is $3.60 ?
    12·1 answer
  • The seventh grade students are having an end-of-year party in the schoal
    12·1 answer
  • Rayna and her husband have 8 niedes, 9 nephews, 6 cousins, 3 aunts, and 5 uncles. Eplain how you could use the fundamental count
    11·2 answers
  • Help please i need some help
    9·1 answer
  • There is a baseball hit towards the fence with a velocity of 40 ft/sec from an initial height of 24 feet (someone is hitting fro
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!