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2 years ago

A 500-foot weather

Mathematics

1 answer:

Archy [21]2 years ago

3 0

<h3>Answer: 293 feet</h3>

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

Explanation:

See the attached image below. The information that the tower is 500 ft is never used. Focus solely on triangle ABD (ignore point C).

AB = 200

AD = x = unknown

angle ABD = angle B = 47 degrees

Use the cosine rule to help find x

---------

cos(angle) = adjacent/hypotenuse

cos(B) = AB/BD

cos(47) = 200/x

x*cos(47) = 200

x = 200/cos(47)

x = 293.255837127926

Rounding to the nearest foot, we get 293 feet as the answer.

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Step-by-step explanation:

This weird notation just means we are going to put one equation inside the other, and then solve.

Makes more sense when you write it like this:

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^ This makes it a lot easier to understand what we have to do.

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The value of $a_{5}$ is 2500, when $a_{1}=4$ and $5a_{n-1}$ .

Given that, $a_{1}=4$ and $5a_{n-1}$ .

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<h3>What is an arithmetic sequence?</h3>

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Now, to find the value of $a_{5}$ :

$a_{2} =5a_{2-1}=5a_{1}=5 \times4=20$

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