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sammy [17]
3 years ago
5

A surveyor standing 2,227 ft from the base of the World Trade Center in New York City measured a 31 degrees angle to the topmost

point. To the nearest feet, how tall is the World Trade Center?
Mathematics
1 answer:
dusya [7]3 years ago
3 0
You can make a right triangle with the leg in between the building and the surveyor being 2,227 ft and the height of the building being the other leg (x).  To find x you can use the fact that tan(31)=x/2,227 which means x=tan(31)2,227.  Therefore x=1338.12 feet which means the building is 1338.12 feet tall.
I hope this helps.  let me know in the comments if anything is unclear.
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Ilya [14]

Answer:

6.13

Step-by-step explanation:

Using Sine Law we know that

\dfrac{a}{SinA}=\dfrac{b}{SinB}=\dfrac{c}{SinC}

Using your figure let's assign sides and angles:

A=? B = 60° C = 70°

a = 5 b = ? c = x

If we put that into our formula:

\dfrac{5}{Sin?}=\dfrac{?}{Sin60}=\dfrac{x}{Sin70}

Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?

Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°

∠A + ∠B + ∠C= 180°

∠A + 60° + 70° = 180°

∠A + 130° = 180°

∠A = 180° - 130°

∠A = 50°

Now we can use this to solve for x.

\dfrac{5}{Sin50}=\dfrac{x}{Sin70}\\\\\dfrac{(5)(Sin70)}{Sin50} = x\\\\\dfrac{4.6985}{0.7660}=x\\\\6.1338 =x

So the closest answer would be 6.13

5 0
3 years ago
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andrew-mc [135]

Answer:

False

True

True

true

Step-by-step explanation:

65x+105=y

Substitute 6 for x to find the cost for 6 classes

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2 years ago
How do solve this equation step by step
Kryger [21]

Answer: 15n³-105n²+2n+16/6n²-42n

Step-by-step explanation:

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2n+16+15n³-105n²/6n²-42n

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3 years ago
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