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
iragen [17]
3 years ago
11

An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and

60 find the widht of river

Mathematics
1 answer:
blagie [28]3 years ago
4 0

Answer:

  84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

  Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

  tan(30°) = OB/OA

  OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

  OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

  BC = OC -OB = 200 m - 115.47 m = 84.53 m

You might be interested in
Which scenario could be represented by the value −20 ? Select each correct answer. A: A diver's depth is 20 feet above sea level
skad [1K]
The answer is B because it is under 0, making it negative

3 0
3 years ago
Scientific notation for 7×10^9​
Alex17521 [72]

Answer:

7,000,000,000

Step-by-step explanation:

7×10^9

The number after ten is how many zeros you put.

5 0
3 years ago
Read 2 more answers
Find the value of x, rounded to the nearest degree.
Mnenie [13.5K]
That is adjacent and huptonuse
soh cah toah
so that is cos

cos(x)=15/21
so tehrfor
cos⁻¹(15/21)=x
where cos⁻¹ means inverse not 1/cos

use your calculator to evaluate cos⁻¹(15/21) in degrees

it is about 44.4153 degres, rounded to 44 degrees
5 0
3 years ago
Simplify<br>Pls help......​
never [62]

Answer:

5

Step-by-step explanation:

(0.000064)^5/6 divided by (0.00032)^6/5

(0.00032)^6/5=(0.000064)

and

(0.000064)^6/5=(0.00032)

so now we have (0.00032) divided by (0.000064)

which is 5!

hope this helps!

6 0
3 years ago
Read 2 more answers
Four students are working in a group and are asked to find the length of BC. Which two students set up the problem correctly? Mo
Alika [10]
The best and the most correct answer among the choices provided by the question is the first choice. The two students that set up the problem correctly is <span> Moe: x = (5 - 1)2 + (1 - 4)2 and Jimmy: x2 = 32 + 42.</span> I hope my answer has come to your help. God bless and have a nice day ahead!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Wanna help a sister out? :)))
    10·1 answer
  • How are these two constants of proportionality related to each other?
    12·1 answer
  • Drove eight miles due east and then six miles due north how far troy from his starting point
    13·1 answer
  • Which of the following is the shape of a cross-section of the figure shown below?
    10·1 answer
  • Help me with question 1 please!
    10·1 answer
  • 30 POINTS!!! PLEASE ANSWER SOON. WILL MARK BRAINLIEST
    9·1 answer
  • Mikayla bought a coat that originally cost $200. It was on sale for 25% off. How much did she pay for the coat?
    9·2 answers
  • 7x+8y=-23<br> 3x - 16y= 29
    6·1 answer
  • 50 yards of tape is
    9·1 answer
  • Andrew is half his brother's age. Three years ago, the sum of their ages was 24. How old are they each now? Please answer Fast.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!