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tatuchka [14]
3 years ago
13

Find the radius of a circle with a circumference of 35 pie yards

Mathematics
1 answer:
natita [175]3 years ago
8 0

Answer:

Using the formula

C=2πr

Solving for r

r=C

2π=35

2·π≈5.57042

Step-by-step explanation:

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List the sides in order from shortest to longest. The diagram is not to scale. Triangle upper J upper K upper L is shown. Angle
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A standard chemistry examination administered nationally by the American Chemical Society has a mean of 500 and a standard devia
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Read 2 more answers
A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
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