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
scoray [572]
3 years ago
14

On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depres

sion of the stake is 62º. Find the height of the balloon to the nearest foot.
List your knowns and unknowns.
Solve the problem. Make sure your answer contains units and is labeled clearly.
Check your answer.
Write 2-4 sentences explaining your solution/checking process.
Mathematics
1 answer:
Alborosie3 years ago
4 0

Answer:

  • 79 ft

Step-by-step explanation:

Balloon - B, stake - S, point at ground - G

<u>Given:</u>

  • BS = 90 ft
  • m∠BSG = 62°
  • BG = x

<u>Use sine and solve for x:</u>

  • BG/BS = sin ∠BSG
  • sin 62° = x / 90
  • x = 90 sin 62 deg
  • x = 79 ft (rounded)
You might be interested in
What is the slope of the line passing through the points (0, −5) and (4, 2)?<br> __/__
Lorico [155]
Your slope is 7/4 

<span>https://gyazo.com/0aebab07f83794030e8fc922ac06610e
</span>
Proof in link
6 0
3 years ago
Read The question and Then give Me The answer for number 20
N76 [4]
The second option, 7 rolls of quarters and 4 rolls of dimes.

7*10=70
4*5=20
70+20=90
7 0
3 years ago
Quadrilateral BCDE is inscribed inside a circle as shown below. Write a proof showing that angles C and E are supplementary.
erma4kov [3.2K]

Each of those angles are Inscribed angles. A useful fact is that the measure of the intercepted arc of an inscribed angle is twice the measure of the angle.

The intercepted arc of ∠C is arc BED. The intercepted arc of ∠E is arc BCD.

m(arc BED) + m(arc BCD) = 2( m∠C + m∠E)

The two arcs combined make u p the entire circle, so the sum of their measures is 360.

360 = 2(m∠C + m∠E)
180 = m∠C + m∠E

The angles are supplementary.

4 0
3 years ago
Which equation is a point slope form equation for line AB?
sukhopar [10]

Answer:

option 1

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(1, 6) and (x₂, y₂ ) = B(5, - 2)

m = \frac{-2-6}{5-1} = \frac{-8}{4} = - 2

Use either of the 2 points for (a, b)

Using (a, b) = (5, - 2) , then

y - (- 2) = - 2(x - 5) , that is

y + 2 = - 2(x - 5)

3 0
4 years ago
Please explain your answer as well. Thx!!!
dimulka [17.4K]

Answer:

e^2

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • 4(2r-1)=-2(3r+16) how do I solve this equation
    10·2 answers
  • What is the value of r for the data in the table?
    14·2 answers
  • » Suzie's water bottle holds 4 cups of water. How many times can she fill her water bottle
    9·2 answers
  • I need help
    5·1 answer
  • A total of 41 people attended Rayleigh's birthday party. Rayleigh's sister invited some of the guests. If Raleigh invited 19 mor
    6·2 answers
  • The Florida Panther can run at a rate of 35 miles per hour. How many miles can the panther run in 3 hours?
    10·1 answer
  • How many degrees warmer is Knowlton than
    14·1 answer
  • Find the surface area of this sphere.
    5·1 answer
  • 7+5(x−3)=227, plus, 5, left parenthesis, x, minus, 3, right parenthesis, equals, 22 a true statement?
    8·1 answer
  • If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!