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OLga [1]
3 years ago
11

A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of th

e balloon to be 75.8° and 15.6°. What is the length of the island to the nearest tenth of a mile?
Mathematics
1 answer:
saul85 [17]3 years ago
3 0
The length of the island will be given as follows:
tan θ=opposite/adjacent
thus:
tan75.8= 3000/a1
a1=3000tan75.8
a1=11855.885 ft

also:
tan15.6=3000/a2
a2=3000tan15.6
a2=837.62 ft
Thus the length of the island will be:
11855.885-837.615
=11,018.24 ft
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Answer:

Step-by-step explanation:

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Part ii: EVen if instead of 101, say n people are there same proof follows as

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3 years ago
What is interest earned on 3500 invested at 6% compounded quarterly or 12 years
enyata [817]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3500\\
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n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &12
\end{cases}
\\\\\\
A=3500\left(1+\frac{0.06}{4}\right)^{4\cdot 12}\implies A=3500(1.015)^{48}

so, the interest earned then will be  A - 3500.
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Answer:

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Step-by-step explanation:

I hope it's help u

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