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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

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If 32 horses consume 112 kg of grass in a certain period, how much grass will be
Aloiza [94]

Answer:

38.5 kg of grass

Step-by-step explanation:

We can solve this problem by using a proportion. (Kg of grass over horses)

Let x = the amount of grass 11 horses will eat in the same period of time.

112/32 = x/11      Cross multiply

1232 = 32x        Divide both sides by 32

x = 38.5

I hope this helped and please mark me as brainliest!

4 0
2 years ago
for every weekend that mia does her household chores her mother gives her $9.for how many weekends does mia have to do her chore
allsm [11]
So, we'll say Mia gets $4.50 a day, since a standard weekend is two days, therefore adding up to $9 a weekend. So if Mia were to do her chores for 4 weekends, she'd have a total of $36 but not $40. So if she were to work an extra weekend, so 5 weekends, she'd have a total of $45. So you can say 5 weekends in order to earn more than $40.
7 0
2 years ago
You are going to an amusement park over Spring Break.
agasfer [191]

Answer:

you can go on a maximum of 11 rides

Step-by-step explanation:

you first have to subtract 30 from 100 since that is the admissons fee.

So now you are left with 70 dollars.

You divide 70 by 6 since you need 6 dollars to go on each ride.

and 70 divided by 6 is 11.6666666667 but round it to 11 since that the whole number you're left with.

hope this helped :)

5 0
3 years ago
On Monday, it snowed 30 inches in 16 hours. On Thursday, it snowed 21 inches in 6 hours. On which day did it snow at a greater r
nevsk [136]

Answer: Thursday

Step-by-step explanation:

I think this answer is correct because, On Monday it says it snowed 30 inches for 16 hours, so we divide 30 by  16 and we get 1.875. But for Thursday it snowed 21 for 6 hours, so we divide 21 by 6 and that equals 3.5. So on Monday it snowed 1.875 snow per hour and Thursday it snowed 3.5 snow per hour. So the answer is Thursay!

Hope This Helps!

5 0
2 years ago
Read 2 more answers
9/10-1/3-1/5 find the fraction
Zanzabum
Find a common multiple in between the denominators.
10 and 3 and 5 -> the least common multiple is 30.

Change all the denominators to 30 by multiplying the top and bottom by the same number.

9/10=27/30
1/3=10/30
1/5=6/30

Subtract!
27/39-10/30-6/30=11/30

The answer is 11/30

Hope this helps!



3 0
3 years ago
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