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
Finger [1]
3 years ago
6

9. A building 62 feet tall casts a shadow 21 meters long. At what angle is the sun shining on the building?

Mathematics
2 answers:
Alexandra [31]3 years ago
3 0

First, we imagine a right triangle. Second, we are given that the building is 62 feet tall. Since the height of building is vertical straight - that means the height is opposite side of triangle. It also casts a shadow 21 meters long. Shadow should be the adjacent side because it casts on the ground and not on the air.

If we imagine the right triangle + the problem in our head, we'd get the triangle that the opposite side is 62 feet tall and the adjacent side is 21 meters long.

Use the tangent ratio to find the angle of sun shining.

\large \boxed{ \tan \theta =  \frac{opposite}{adjacent} }

Substitute adjacent = 21 and opposite = 62 in the ratio.

\large{tan \theta =  \frac{62}{21} }

For this part, you might need a calculator or trigonometric table because some values cannot be exactly found.

From the equation, we should get 71.288 which we round the answer to nearest hundreth and the answer would be 71.29

Answer

  • The answer is 71.29
Snowcat [4.5K]3 years ago
3 0

Answer:

71.29°

Step-by-step explanation:

By question its given that , a 62 feet tall tree cast a shadow of 21 m long. We need to find the angle at which the sun is shining on the building .

For this we gonna imagine a right angle triangle . Where , the length of the shadow will be the base of the triangle and the height of the building will be the perpendicular on the triangle .

Here since we have got perpendicular and base , we can use the ratio of tan . We know that tan is defined as perpendicular by base , that is ,

\implies tan \theta =\dfrac{perpendicular}{base}

  • where theta is the angle between the Ray of the the sun and the the shadow of the building.

Plug in the respective values , we have ,

\implies tan \theta =\dfrac{62}{21} \\\\\implies\theta = tan^{-1}\bigg( \dfrac{62}{21}\bigg) \\\\\implies \underline{\underline{\theta = 71.29^o }}

<u>Hence</u><u> the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>7</u><u>1</u><u>.</u><u>2</u><u>9</u><u>°</u><u> </u><u>.</u>

You might be interested in
samuel and jason spend 3/4 of their combined earnings from wednesday to buy a gift. Together they earned $21.88 how much did the
tiny-mole [99]
3/4 of their combined earnings should be $16.41
3 0
2 years ago
Read 2 more answers
What is 120/180 in simplest form
dlinn [17]
You can find the simplest form of 120/180 by rounding down the numbers. you can take the zeros away and your left with 12/18. you can make it even smaller by using the 6 time tables. 12 and 18 are both in the 6 time tables. 2×6=12 and 3×6=18. The answer is 2/3.

Hope I helped :D
6 0
2 years ago
Free 5 points!+thanks. But you have to answer this easy question! What's your zodiac sign?
weeeeeb [17]
I am a capricorn :) wbu?
3 0
2 years ago
Read 2 more answers
The manager of a furniture factory finds that it costs $2400 to manufacture 60 chairs in one day and $4800 to produce 260 chairs
tamaranim1 [39]

Answer:

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

Step-by-step explanation:

Given that:

X1 = 60 chairs ; y1 = 2400

X2 = 260 chairs ; y2 = 4800

Obtain the slope ; m

m = y2 - y1 / x2 - x1

m = 4800 - 2400 / 260 - 60

m = 2400 / 200

m = 12

Using the point slope relation:

y - y1 = m(x - x1)

y - 2400 = 12(x - 60)

y - 2400 = 12x - 720

y = 12x - 720 + 2400

y = 12x + 1680

C(x) = 12x + 1680

From the general slope intercept equation :

y = mx + c

m = slope ; c = intercept

Hence,

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

5 0
2 years ago
Aisha measures the length of a sheet of paper and finds that it is 29 cm long. The label on the package indicates that the paper
Masteriza [31]

Answer:

just do the step by step and you'll probably get it because it's quite simple but hard for me to explain so just read this!

Step-by-step explanation:

In making any measurement, the chances are that our results will not be absolutely accurate.  We can often compare our results with some standard or accepted value to see how closely they agree.  But how much error can be allowed before the result becomes meaningless?

As you may guess, the amount of error that is acceptable varies with the situation.  Suppose you measure the distance on a map between your Scarsdale and Mamaroneck and you get a result of 5 miles.  If the actual distance is 5 1/2 miles, the chances are this error will have no effect on the trip between the two towns. But if the same degree of error existed in the calculations used to send astronauts to the moon, those people would be in big trouble!

Percentage Error =  <u>measured value - accepted value</u>  x 100%

                                             accepted value          

Suppose, you measured the length of a table and obtained a measurement of 202 cm.  A friend also measures the table and obtains a result of 198 cm. To calculate the percentage error in each of the measurements, you need to know the "correct' or “accepted value” of the length of the table. After consulting the manufacturer’s catalog, you find that the table's length is listed as 200 cm in length. This will be used as the accepted value in our calculation.

The calculations of percentage error for the two measurements are shown below. Both measurements show an error of 1%. Your friend has made a measurement which is on the low side of the accepted value and is therefore, negative. You, on the other hand, have made an error on the high side of the accepted value and it is positive.

I dont know the answer but I hope this helped!

(sorry for the inconvenience)

6 0
3 years ago
Other questions:
  • Nikola has received two job offers. The first is for an online company that pays $20 per hour. The work is interesting and lets
    9·1 answer
  • How does a digit in the ten thousands place compare to a digit in the thousands place
    11·1 answer
  • Help me please 38 points!!!
    6·2 answers
  • I'm really stupid sorryyyyyyyyyyyyyy<br> what is 4 x 10?
    8·2 answers
  • Match the number with its opposite. Match Term Definition 9.2 A) 2.9 −2.9 B) −4.1 −1.4 C) −9.2 4.1 D) 1.4
    15·1 answer
  • How to graph Y &gt; x- 4
    12·1 answer
  • Use the number line​ below, where RS = 5y + 2, ST = 3y + 6, and RT = 48
    10·1 answer
  • A rectangle has a length of 4 feet and a perimeter of 16 feet. What is the perimeter of a similar rectangle with a length of 9 f
    15·1 answer
  • Admission to a theme park is $32 per adult and $20 per child. In order to pay the
    12·1 answer
  • The radicand is the value inside of the radical.<br> O True<br> O False
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!