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
Anastaziya [24]
3 years ago
10

While taking a ride in a hot-air balloon in Napa Valley, Francisco wonders how high he is. To find out, he chooses a landmark th

at is to the east of the balloon and measures the angle of depression to be 54degrees. A few minutes later, after traveling 100 feet east, the angle of depression to the same landmark is determined to be 61degrees. Use this information to determine the height of the balloon.

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:the height of the balloon is 670.244 feet

Step-by-step explanation:

The right angle triangle BLD represents the scenario.

h represents the height of the balloon.

We would apply trigonometric ratio to determine h.

Tan # = opposite side/adjacent side

Looking at triangle LCD,

# = 61 degrees

h = opposite side

x = adjacent side

Tan 61 = h/x

1.7321 = h/x

h = 1.7321x

Looking at triangle LBD,

# = 54 degrees

h = opposite side

x + 100 = adjacent side

Tan 54 = h/x + 100

1.3764 = h/x + 100

h = 1.3764(x + 100)

Therefore,

1.7321x = 1.3764(x + 100)

1.7321x = 1.3764x + 137.64

137.64 = 1.7321x - 1.3764x

137.64 = 0.3557x

x = 137.64/0.3557 = 386.955

h = 1.7321x = 386.955 × 1.7321

h = 670.244 feet

You might be interested in
Does anyone know this? Please help! ASAP!!!
Fudgin [204]
The answers:
a=4
b=5
c=6
d=1
8 0
2 years ago
Read 2 more answers
What is the center and radius of -10x = -121 - y2 - x2 -22y
OlgaM077 [116]

We need to find the center and the radius of

-10x\: =\: -121\: -\: y^2\: -\: x^2\: -22y

The general circle equation is the following

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center and

r is the radius

1. rearrange the equation

(x^2-10x)+(y^2+22y+121)=0

2. Add 25 on both sides

(x^2-10x+25)+(y^2+22y+121)=25

3. Factor

(x-5)^2+(y+11)^2=5^2

Now we have an equation that is very similar to the circle equation, so let's compare them

Center -> (h,k) = (5,-11)

radius -> r = 5

8 0
1 year ago
How to have a different rectangle with the same perimeter
Nuetrik [128]
To have a different rectangle with the same perimeter you just have different measurements. If you need an example let me know!
7 0
2 years ago
On farm there are 200 cows from those 200 cows there are 150 cows that can give milk .in one corral there are 20 cows. How many
LiRa [457]

Here the two samples should be comparable .

The total number of cows in the farm = 200

the total number of cows giving milk = 150

the total number of cows in corral = 20

Suppose total number of cows giving milk in corral = x

The ratio of the total number of cows present to the total number of cows giving milk should be same in farm and corral

so : 200 = 20

------- -------

150 x

now we do cross multiplication :

200 x = 150* 20

200x = 3000

x= 3000/200

x= 15

SO we expect 15 cows in corral should be giving milk .

Answer : 15

4 0
2 years ago
Read 2 more answers
What is the value of y in the product of powers below?
Marat540 [252]

Answer:

y =0

Step-by-step explanation:

From the equation;

8³ × 8⁻⁵×8^y = 8⁻²= 1/8²

From the laws of indices;

aⁿ×aⁿ = a^2n

Therefore;

8³ × 8⁻⁵×8^y = 8^(3+-5+y)

8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;

-2 + y = -2

      y = 0

8 0
2 years ago
Read 2 more answers
Other questions:
  • How is this solved using trig identities (sum/difference)?
    9·1 answer
  • How would I reduce 540/600 using prime factorization?
    10·2 answers
  • What is tan 30°?<br> 60*<br> 2<br> /<br> 90*<br> 30*<br> с<br> оооооо
    12·1 answer
  • I need help with finding the arc measure of this problem.
    6·1 answer
  • -3x + 7 = -2 solve for x
    5·2 answers
  • An orange is divided into 6 equal wedges.Jody eats 1 wedges.How much of the orange did Jody eat?
    7·2 answers
  • How many ways are there for a child to take 10 pieces of candy with four types of candy if the child does not take exactly two p
    14·1 answer
  • 8. Find the value of k, if (1-1) is a solution of the equation 3x-ky =8. Also, find the coordinates of
    9·1 answer
  • I need help<br> With this I will mark you if your awnser is right
    15·1 answer
  • 4. Write an equation for the line that is parallel to the given line and that passes
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!