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
Liula [17]
3 years ago
7

A man is standing at a radar base and observes an unidentified plane at an altitude 6000m flying towards the radar base at an an

gle of elevation 300. After exactly one minute, the radar sweep reveals that the plane is now at an angle of elevation 600 maintaining the same altitude. What is the speed in m/s of the plane?
Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

The speed in of the plane is 115.47 m/sec

Step-by-step explanation:

Given:

Height at which the plane is flying = 6000 m

Angle of elevation at the radar base = 30 Degrees

Angle of elevation at the radar base after one minute  = 60 Degrees

To Find:

The Speed of the plane in meter per second = ?

Solution:

Let us use the tangent of the angle to find the distance (d) to a point directly below plane:

<u>when the angle is 30 degrees</u>

tan(30) = \frac{6000}{d1}

d1   = \frac{6000}{tan(30)}

d1 = \frac{6000}{0.577}

d1 = 10392.3 meters

<u>when the angle is 60 degrees</u>

tan(60) = \frac{6000}{d2}

d2  = \frac{6000}{tan(60)}

d2  = \frac{6000}{1.732}\\

d2 = 3464.1 meters

<u>distance travelled by aircraft in 1 min is  </u>

=>d1 - d2

=>0392.3 - 3464.1

= 6928.2 m/min

<u>Now converting to m/sec</u>

=>\frac{6928.2}{60}

=>115.47 m/sec

You might be interested in
A car manufacturer estimates that 25% of the new cars sold in one city have defective engine
photoshop1234 [79]

Answer: 672 cars will have defective engine mounds

Step-by-step explanation: 25% of 2,688 is 672

8 0
3 years ago
Each year a certain type of tree grows vertically 14/15 as much as it did the year before. If the tree grows 1.5m during the fir
Anastaziya [24]

https://answers.yahoo.com/question/index?qid=20180411132938AApZYZz

8 0
3 years ago
A grocery store sells three different quantities of sugar. A 1-pound bag costs $1.10, a 2-pound bag costs $1.92, and a 3-pound b
Mashcka [7]
$1.10 per pound for the 1-pound bag.
$0.96 per pound for the 2-pound bag.
$0.92 per pound for the 3-pound bag.

As the quantity of sugar increases, the unit cost decreases.
8 0
3 years ago
elogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD. A. 6 B. 16 C.
slega [8]

Answer:

D

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

DE = BE , substitute values

4y - 8 = y + 10 ( subtract y from both sides )

3y - 8 = 10 ( add 8 to both sides )

3y = 18 ( divide both sides by 3 )

y = 6

Thus

BD = y + 10 + 4y - 8 = 5y + 2 = 5(6) + 2 = 30 + 2 = 32 → D

4 0
3 years ago
Which of the following is equivalent to the complex number i^34
Serhud [2]

Answer: lololololololollolol

Step-by-step explanation: Blackhawks

3 0
3 years ago
Other questions:
  • Mplify 22 – 5(2x + 4). –10x + 26 –10x + 2 34x + 4 34x + 68
    11·1 answer
  • Noaya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to re
    14·1 answer
  • Graph y=2.5x= <br> what is the answer
    9·1 answer
  • Math question. image shown below
    9·1 answer
  • Will give brainliest Please help
    10·1 answer
  • What is the measure of n?
    5·1 answer
  • Can you answer this quick​ it's so hard
    6·2 answers
  • In the hotel room, Emily works on one of the field trip assignments. A certain
    12·1 answer
  • PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
    8·2 answers
  • A butcher can cut through 390 pounds of beef a day and 48 pounds less of poultry. Find the absolute value of total beef and poul
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!