1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa [10]
3 years ago
11

Please explain how to do #6 i know the work is right but i don’t understand it

Mathematics
1 answer:
mariarad [96]3 years ago
6 0
Since this is part of a packet, there's a lot of prior knowledge you need to understand the question.
1) The angle of elevation is the angle between the horizontal and the light of sight from the object to the observer (see picture 1).

2) A lot of the units are from work done by an Indian astronomer. The line of sight (light blue in picture 1) is r = 3438 (I think you might have forgotten to finish writing the number). r, or 3438, is the distance from the earth to the sun used by Indian Astronomers. 

3) The table shows units in jya(θ<span>°). Jya is a Sanskrit (ancient Indian language) word. It stands for the length of half of a chord that connects two endpoints of a circle (kinda confusing and more information than you need to know - but it's the green line in picture 2).
What's important is: </span>jya(θ°) = r*sin(θ°)



Now let's tackle the problem:
1) You know that the angle of elevation is 67.5°. Using the chart, the only important value is the second from the bottom. jya(67.5°) = 3177. 

2) Remember that jya(θ°) = r*sin(θ°). 
Also remember that sine of an angle is \frac{opposite}{hypotenuse}. In this problem, r, the distance from the earth to the sun, happens to be the hypotenuse of the triangle since its the longest edge. 

3) Notice that you're dividing jya(θ°) (aka r*sin(θ°)) by r = 3438. That will give you sin(θ°) by itself. Then you're multiplying that sin(θ°) by 1 AU, which we are told is the actual distance of the hypotenuse/distance from earth to sun. Since sine = \frac{opposite}{hypotenuse} that gives you the apparent length of the opposite side = apparent height of the sun.

The math is a bit weird, but you're basically multiplying sine by the apparent distance 1AU to get the apparent height, instead of multiplying sine by the estimated height r = 3438. Dividing 3177 by 3438 gives you sin(67.5°). Then multiplying sin(67.5°) by the apparent hypotenuse, 1AU, gives you the apparent height. That's how I'm understanding it!

You might be interested in
Find the value of tangent for angle A
gavmur [86]
AC = √(40²-12²) = √(1600-144) = √1456 = 4√91

tanA = 12/4√91 = 3/√91 = 3√91/91


option а.
4 0
3 years ago
Read 2 more answers
Solve y(2y+1)+10=0 by using the Quadratic Formula.
Lorico [155]

Answer:

y= -1+- i √79/4

Step-by-step explanation: Here is the answer ^^

8 0
2 years ago
I NEED HELP ASAP!!!!!!!!!!!!!!!!
Snowcat [4.5K]

Answer:

1/6

Step-by-step explanation:

If you divide the fractions to decimals 1/6 equals .16 which is closest to 0

7 0
2 years ago
Read 2 more answers
The optimal operating temperature of a given car engine is within 10°F of 190°F. Write an absolute value
KiRa [710]
|x - 190|≤10

Solved: 180≤x≤200
5 0
2 years ago
Number 11 I need help with pretty hard help help help
iren [92.7K]
Ok!
1st box : 6 and 3/8
2nd box : x
3rd box : 8
7 0
3 years ago
Read 2 more answers
Other questions:
  • Max spent 11 dollars on items. He bought milk, eggs and fabric softener. The eggs cost one fifth of what the milk cost and the f
    9·2 answers
  • The cost of 5 cans of dog food is $4.35.At the price,how much do 11 cans of dog foo cost.
    9·1 answer
  • The age of a father is to less than seven times the age of his son in three years the sum oftheir ages will be 52 if the sons pr
    11·1 answer
  • Kim wrote the number 11. Use mental math to tell what number has ??
    10·2 answers
  • How many cups of 1/4 do I need to get 2 2/4 cups
    10·2 answers
  • I need the ordered pair plz
    12·1 answer
  • (6,10)<br> (12, 0)<br> 8<br> 10<br> (0,0)<br> What is the equation
    6·1 answer
  • Which one is not a characteristic of all parallelograms?
    12·1 answer
  • Write in slope-intercept form: y + 2 = 12(x – 4)?
    10·1 answer
  • CORRECT ANSWER = BRAINLIEST
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!