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lianna [129]
3 years ago
11

solve for the indicated variable. include all of your work in your answer. submit your solution. P=2L+2W; for L.

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0
We have this equation:

P=2L+2W

So, we need to solve this equation for L. Then we sum -2W in each member of the equation, like this:

P-2W=2L+2W-2W
P-2W=2L

Then, dividing the equation by 2:

\frac{P-2W}{2}=L

Finally, let's order this equation:


L=\frac{P-2W}{2}
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A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

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  • BC = height of building and
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So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

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  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

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So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

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