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Lilit [14]
3 years ago
11

A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun m

easured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.
Mathematics
2 answers:
icang [17]3 years ago
8 0

Answer:

  • radius: 1460 mi
  • circumference: 9174 mi

Step-by-step explanation:

If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...

  82.6°/360° = 413/1800 ≈ 0.229444...(repeating)

The relation between the given distance and the circumference is ...

  0.294444C = 2105 mi

  C = 2105 mi/0.294444 ≈ 9174 mi

The radius of the spherical planet is this divided by 2π:

  r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi

The radius of the planet is about 1460 miles; the circumference is about 9174 miles.

siniylev [52]3 years ago
5 0

Answer:

Sorry i needed the pointś im so sorry

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Given: m∠EYL=72°<br> Find: mEHL , mLVE
White raven [17]

Answer:

Part 1) The measure of arc EHL is 108\°

Part 2) The measure of angle LVE is 54\°

Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

m

we have

m

substitute

72\°=\frac{1}{2}(y-x)

144\°=(y-x)

y=144\°+x ------> equation A

Remember that

x+y=360\° -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

x+(144\°+x)=360\°

2x=360\°-144\°

x=216\°/2=108\°

Find the value of y

y=144\°+x

y=144\°+108\°=252\°

therefore

The measure of arc EHL is 108\°

The measure of arc EVL is 252\°

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

m

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x=108\°

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m

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3 years ago
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I believe the correct answer would be B. 88 Degrees, because 92 + 88 = 180.  Hope this helped!

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