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N76 [4]
3 years ago
13

A hot-air balloon is sighted at the same time by two friends who are 1.0 mile apart on the same side of the balloon. the angles

of elevation from the two friends are 20.5° and 25.5°. how high is the balloon? (young 487) young, cynthia y. precalculus: with limits, 2nd edition. wiley, 2014-01-06. vitalbook file.
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0
Tan 25.5 = h/x

Tan 20.5 = h / x+1

x tan 25.5 = (x+1) tan 20.5

x 0.476975532 = (x+1) 0.373884679

0.476975532x = 0.373884679x + 0.373884679

Deduct both sides by .373884679

0.103090853x = 0.373884679

x = 3.6267 is the first person.

Add one to get for the second person

X = 4.6267
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Are You guys up for math?? Its 6th grade math though!! so are you ready?? l want help please.
katen-ka-za [31]

The ratio would be 4:1.

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 64 and 16 is 16

Divide both terms by the GCF, 16:

64 ÷ 16 = 4

16 ÷ 16 = 1

The ratio 64 : 16 can be reduced to lowest terms by dividing both terms by the GCF = 16 :

64 : 16 = 4 : 1

Therefore:

64 : 16 = 4 : 1

3 0
3 years ago
The length of a swimming pool is 8 m longer than it's width and the area is 105m²​
Art [367]

width= 7m

Step-by-step explanation:

Area= L×W

L= (x+8)m

W=8m

105m²= (x+8)m × (x)m

105m²= x² + 8x

-x² - 8x + 105= 0

(x-7) (x+15) = 0

x= 7 x= -15

x=width = 7m

6 0
3 years ago
Read 2 more answers
What is the area of the circle if DF=20 in.
crimeas [40]
We know that

DF is the diameter of the circle
so
radius r=DF/2----->20/2-----> r=10 in

area of the circle=pi*r²------> pi*10²-----> 100*pi in²-----> 314 in²

the answer is

100*pi in² or 314 in²
4 0
3 years ago
A new automobile cost 11300 which is 100 more than 25 times a certain number what is the number​
olga_2 [115]

Answer:

The number is 448.

Step-by-step explanation:

Hope it helps

3 0
3 years ago
???? Help plz ?…. It’s a grade
Aleks [24]

Answer:

Yes it does show a dilation

4 0
3 years ago
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