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dolphi86 [110]
3 years ago
13

After a storm damages the community center, Shanika and her friends hold fundraising

Mathematics
1 answer:
Inessa [10]3 years ago
3 0

Answer:

The total amount of money Shanika and her friends want to raise is <u>$2400</u>.

Step-by-step explanation:

Given:

After a storm damages the community center, Shanika and her friends hold fundraising.

After the first event, they raise $240, which is 10% of the  total amount that they want to raise.

Now, to find the total amount of money that Shanika and her friends want to raise.

Let the total amount of money that Shanika and her friends want to raise be x.

As given 10% of fundraise is $240.

So, according to question:

10\%\ of\ x=\$240.

\frac{10}{100}\times x=240

\frac{10x}{100}=240.

<em>Multiplying both sides by 100 we get:</em>

10x=24000.

<em>Dividing both sides by 10 we get:</em>

x=\$2400.

Therefore, the total amount of money Shanika and her friends want to raise is $2400.

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Answer:  About 513 feet

A more accurate value is roughly 512.575960394824

==============================================================

Explanation:

With many trig problems, a diagram should help steer you in the right direction. See below.

The red angle is the angle of depression. It's formed by starting off looking straight horizontal, then we look down 26 degrees. The blue angle adds to the red angle to get 90, so we can see that 26+64 = 90. Or you could say 90-26 = 64.

The goal is to find the value of x, which is the length from B (the lighthouse base) to point C (the ship's location).

The lighthouse is 250 ft tall, meaning AB = 250

We'll use angle BAC, or angle A for short, as the reference angle. This is the blue angle in the diagram.

We have a known adjacent side (AB = 250) and an unknown opposite side (BC = x). We use a tangent ratio to tie these sides together with the reference angle in question. This way we can solve for x.

-------------------

tan(angle) = opposite/adjacent

tan(A) = BC/AB

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250*tan(64) = x

x = 250*tan(64)

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I'm rounding to the nearest whole number because the other values given to you are whole numbers.

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