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
Mademuasel [1]
2 years ago
11

Isaac and Albert spot a hot air balloon flying at a low altitude. They decide to calculate its height by standing 400 feet apart

on a level surface and measuring the angle of elevation to the balloon. From
Albert, the balloon was at an angle of elevation of 62°and from Issac its was 48º. Determine the height of
the balloon above the ground to the nearest foot.
Mathematics
1 answer:
yarga [219]2 years ago
4 0

Answer:

144 feet to nearest foot.

Step-by-step explanation:

Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet

So we have 2 right angled triangles and:

tan 62 = h/x

tan 48 = h / (400- x)         where h is the height of the balloon.

From the first equation x = h / tan 62 so plugging this into the second one:

tan 48 =  h /  ( 400 - h/tan 62)

h = 400 tan 48 - h tan 48 tan 62

h + h tan 48 tan 62 = 400 tan 48

h ( 1 + tan48 tan62) = 400 tan48

h = 400 tan 48 / (1 +  tan 48 tan 62)

= 143.8 feet.

You might be interested in
After Ricardo received his allowance for the week, he went to the mall with some friends. He spent half of his allowance on a ne
ad-work [718]
Lets work backwards, he had $5 after it all, and spent $1.25 on a snack, so we add that to the remainder, which is $6.25. then he spent half of that on whatever stuff he likes, so add $6.25 and $6.25, which is $12.50
6 0
2 years ago
Read 2 more answers
Please I need help, I've been stuck in this for about 30 minutes now
Anna35 [415]

Answer:

look where infinity you have to write 5

Step-by-step explanation:

1, line of infinity 5

2. 7 8

3. 6 2

4. 0 1

5

6

7.7 8, 2 5, 6 3

4 0
2 years ago
ANSWER QUICKLY, ASSIGNMENT DUE AT 11:59! WORTH 100 POINTS
Brut [27]

f(2) is greater than g(2) and f(-2) is less than g(-2)

6 0
3 years ago
Can you please explain how 7.86×4.6=36.156
Mashcka [7]
7.86 x 4 is 36.156 because you have to line up the decimals and multiply them and then you get 36.156
7 0
2 years ago
HELP!!! Which of the following sequences has a common ratio?
Otrada [13]
12, 4, 4/3 has a common ratio.
7 0
3 years ago
Other questions:
  • A spherical paintball measures 1.5 centimeters in diameter. Approximately how much paint is in it?
    13·1 answer
  • How can I divide by zero?
    9·1 answer
  • The sum of two consecutive integers is at most 3. what is the greatest possible value for the greater integer?
    9·1 answer
  • a cable installer can make 42 installations in 6 hours how long will the installers been making a hundred and forty-seven instal
    13·2 answers
  • Write 6,219 in expanded<br> form.
    9·2 answers
  • Find the slope and y- intercept of the line. y = 6x-9
    11·1 answer
  • Solve the following systems by the addition method <br><br> 4x - y =3<br> 2x+3y = 18
    10·1 answer
  • Find the measure of angle age
    12·2 answers
  • 2.25(a+1.3)=20.7 What is the value of a?
    7·1 answer
  • 4x - 7 = 3x + 4 = 5x - 9
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!