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
Vitek1552 [10]
3 years ago
10

A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the

angle of elevation increased 20°. How fast is the balloon traveling, in km/h, if the angle measurements were taken 300m away from the launch site?
Mathematics
1 answer:
Leni [432]3 years ago
7 0

Answer:

The speed of balloon is 0.16 m/s.

Step-by-step explanation:

BC = 300 m

AD = x

AB = y

time, t = 3 min = 3 x 60 = 180 s

By the triangle, ADC,

tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m

By the triangle, BDC

tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m

So, y = 109.2 - 80.4 = 28.8 m

Speed of balloon = 28.8/180 = 0.16 m/s

You might be interested in
Geometric Shapes - Part 1
Softa [21]

Answer:

x = 54, so the vertical angles are 110°.

Step-by-step explanation:

2x + 2 = 3x - 52

2  = x - 52

x = 54

2(54) + 2 = 108 + 2 = 110

3(54) - 52 = 162 - 52 = 110

3 0
2 years ago
A hexagon has equal side lengths and angle measures. How many reflectional symmetry does the regular hexagon have?.
MatroZZZ [7]

The regular hexagon has 6 reflectional symmetries.

A regular hexagon has 6 congruent sides.

The number of sides of a polygon is the number of reflectional symmetry the polygon have.

Since the number of congruent sides of a regular hexagon is 6, then the regular hexagon has 6 reflectional symmetries.

Read more about reflectional symmetry at:

brainly.com/question/24584937

3 0
2 years ago
Read 2 more answers
What does s equal <br>8s-(8+6s)=20
ad-work [718]
S equals 14. First, you need to do a distributive property for negative sign inside the parenthesis. Combine like terms, add 8 to the both sides and divide by 2.
5 0
3 years ago
The figure below is divided into 100 squares of equal size.
Stolb23 [73]

Answer:

45%

Step-by-step explanation:

45 boxes are shaded

so percentage shaded is 45 out of the total which is 100

so 45 / 100 X 100

=45%

7 0
3 years ago
Jasmine wants to earn $2,000 in simple interest through a
Ierofanga [76]

Answer:

$10000

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

P = 2000 / ( 0.05 × 4 ) = 10000

P = $ 10,000.00

The principal required to

accumulate interest of $ 2,000.00

on a rate of 5% per year for 4 years is $ 10,000.00.

3 0
2 years ago
Other questions:
  • What is 6-3(n-2)= 8-n​
    6·1 answer
  • Write the number 0.000938 in scientific notion.
    11·1 answer
  • Pre-Algrebra help neededdd!!!!
    14·1 answer
  • Write the equation that shows 40 is 8 times more than 5
    10·1 answer
  • You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi
    14·1 answer
  • If a transversal crosses three non-parallel lines, how many pairs of vertical angles are formed? Explain your answer
    15·1 answer
  • I need help!! It is due today!! It’s Geometry !!!
    15·1 answer
  • Which what is the correct expanded form and value of 4^3
    14·2 answers
  • Need help fast please, plz
    5·1 answer
  • Can someone help me how to fill in the table of values?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!