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emmainna [20.7K]
3 years ago
5

A forest ranger spots a fire on a 28 foot tower,the angle of depression from the tower to the fire is 11 degrees to the nearest

foot how far is the fire from the base of the tower show the steps you use to find the solution
running short on time to turn this answer in plz help
Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0
Solution:
use the trigonometric function which is tangent
tangent is equal to opposite/hypotenuse
the angle is 11 degrees
28 foot will be your opposite
your hypotenuse is the missing

tan(11 degrees)=28 foot/ hypotenuse
hypotenuse= [28 foot/ (tan 11 degrees)]
hypotenuse = 98.8 feet
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Colt1911 [192]
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7 0
3 years ago
Adult tickets for the zoo are $10.75 each and child tickets are $5.50 each. How much would a family with two adults and three ch
cupoosta [38]
You'd start off by adding the 2 adults together (10.75 + 10.75) which would equal 21.50 dollars. Now you take the three kids together (5.50 +5.50+5.50) which would equal 16.50 dollars.
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4 0
4 years ago
Can someone please help me with this
krek1111 [17]

Step-by-step explanation:

0.1 repeating is 1/9, so the number is 4 1/9.

5 0
3 years ago
A countries population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponentia
scoundrel [369]

Answer:

The population in 2017  is 171 million

Step-by-step explanation:

Let's assume population starts from 1991

so,

initial population is 147 million

so, A=147

we can use formula

P=Ae^{kt}

we can plug A=147

P=147e^{kt}

In 1998:

t=1998-1991=7

P=153

now, we can plug these values into formula and find k

153=147e^{7k}

Divide both sides by 147

\frac{147e^{7k}}{147}=\frac{153}{147}

e^{7k}=\frac{51}{49}

\ln \left(e^{7k}\right)=\ln \left(\frac{51}{49}\right)

k=\frac{\ln \left(\frac{51}{49}\right)}{7}

k=0.00572

now, we can plug it back

and we get

P=147e^{0.00572t}

In 2017:

t=2017-1991=26

we can plug it and find P

P=147e^{0.00572\times 26}

P=170.57

So,

The population in 2017  is 171 million

5 0
3 years ago
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Bogdan [553]

Answer:

Too tired to explain, here's some digital steps by Symbolab:

6 0
3 years ago
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