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pogonyaev
3 years ago
5

A guy wire makes a 67° angle with the ground. Walking out 32 feet further from the tower, the angle of elevation to the top of t

he tower is 39°. Find the height of the tower.

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

20.9 feet

Step-by-step explanation:

<em>The figure attached below can be formed through the information given.</em>

<u>Step 1: Find angle y</u>

<em>All angles of a triangle are equal to 180°</em>

<em>67 + 39 + y = 180</em>

<em>y = 74°</em>

<u>Step 2: Use sin formula to find H</u>

<em>a/sin a = b/sin b</em>

<em>32/sin 74 = b/sin 39</em>

b = 20.9 feet.

The height of the tower is 20.9 feet.

!!

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Help with my homework <br> Evaluate the exponent expression for a = 1 and b = –2.
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Step-by-step explanation:

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2 years ago
In 2005, the Summerville Journal had 110,000 subscriptions. The number of subscriptions subsequently decreased by 8% each year.
barxatty [35]

Answer:

The number of subscription will be 26,655 in 2022.

Step-by-step explanation:

In 2005, the number subscription is 110,000 and it is decreased at a rate 8% per year.

After 1 year number of subscription is 110,000- 8% of 110,00

                                                              =110,000(1-8%)

After 2 years  number of subscription is 110,000(1-8%) -8% of 110,000(1-8%)

                                                               =110,000(1-8%)(1-8%)

                                                               =110,000(1-8%)²

After 2 years  number of subscription is 110,000(1-8%)² -8% of 110,000(1-8%)²

                                                               =110,000(1-8%)²(1-8%)

                                                               =110,000(1-8%)³

....

and so on.

After t year the number of subscription is

S(t)=110,000(1-8\%)^t

t= 2022-2005=17 years

\therefore S(t)=110,000(1+0.08)^{17}

          ≈26,655

The number of subscription will be 26,655 in 2022.

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