A building casts a 32m shadow when the sun is at an angle of 30 degrees to the vertical. How tall is the building to the nearest meter?

Answers

Answer 1

Answer:

16m tall

Step-by-step explanation:

Distance casted by the shadow = 32m = hypotenuse

Angle of elevation = 30 degrees

Required

Height of the building = opposite

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 30 = x/32

0.5 = x/32

x = 0.5 * 32

x = 16m

Hence the building is 16m tall


Related Questions

An architect wants to create a rectangular sun
porch in a house. He wants it to have a total area of
144 square feet, and it should be 8 feet longer than
it is wide. Find the length and width of the
rectangular garden. Round your answers to the
nearest hundredth.

Answers

Answer:

68 +76

So we do 144/2=72

since its an 8 foot difference subtract 72-4 and 72+4 we get 68 and 76 hope this helped!

which expressions are equivalent to the expression In(e²)

Answers

ln and e cancel out so it’s equal to 1^2 = 1

Three-fourths of the students at Washington Junior High play sports. There are 510 students who play sports.
Which equation would you use to find the TOTAL number of students, s, at the school?

Answers

Answer:

510 divided by 3= 170   170x4= number of students

7/8 and 42/48 are they porpotional?

Answers

Answer:

Yes

Step-by-step explanation:

42/48

42/6 = 7 and 48/6 = 8

Simplifies to 7/8, therefore they are equal

a 4500.00 g bowling ball rolling at a 4.0m/s I NEED HELPPP ASAPPP

Answers

Answer:

12

Step-by-step explanation:

alice is making a necklace she has a chain that is 400 mm long she puts forty 1.7 mm beads twenty-seven 6.5 mm beads and eight 3.4 mm beads on the chain about how much of the 400 mm chain is left withoutbeads?


388 mm

270 mm

230 mm

129 mm​

Answers

Answer: I believe its D

The 129 mm length is left out of the 400 mm total length of the chain if she puts forty 1.7 mm beads twenty-seven 6.5 mm beads and eight 3.4 mm beads on the chain option (D) is correct.

What is an arithmetic operation?

Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them. Addition, subtraction, multiplication, and division are the four basic math operations.

We have:

The total length of the necklace chain = 400 mm

Alice put 40 Nos 1.7 mm beads

Length for this = 40×1.7 = 68 mm

Alice put 27 Nos 6.5 mm beads

Length for this = 27×6.5 = 175.5 mm

Alice put 8 Nos 3.4 mm beads

Length for this = 8×3.4 = 27.2 mm

Total length occupied = 68+175.5+27.2 = 270.7 mm

The length of 400 mm chain is left = 400 - 270.7 = 129.3 ≈ 129 mm

Thus, the 129 mm length is left out of the 400 mm total length of the chain if she puts forty 1.7 mm beads twenty-seven 6.5 mm beads and eight 3.4 mm beads on the chain.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

ok i understand that its greater than but what is the answer plz

Answers

_____>>>>>>The answer is D
I think your answer would be (b)

Brendon, asha and julie share some money in the ratios 3:2:6 the total amount of money that asha and julie recieve is £36 work out the amount of money that brendon receives

Answers

Answer:

£13.5.

Step-by-step explanation:

Let the share of Brendon, Asha and Julie is 3x, 2x and 6x respectively.

The total amount of money that Asha and Julie recieve is £36

i.e.

2x+6x = 36

8x = 36

x = (36/8)

Amount recieved by Brendon,

[tex]B=3\times \dfrac{36}{8}\\\\=\$13.5[/tex]

So, the amount of money that brendon receives is £13.5.

need help with this please! best answer will get brainliest!!

Answers

Answer:

Is there supposed to have a picture? cause if there is, i can't see it...

Step-by-step explanation:

What is the area of the figure?

Answers

Answer:

[tex] 50.2 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of the shaded region = Area of exterior circle with radius (3 +2 = 5) units - Area of interior circle with radius 3 units

[tex] = \pi {(5)}^{2} - \pi {(3)}^{2} \\ \\ = \pi( {(5)}^{2} - {(3)}^{2} ) \\ \\ = 3.14 \times (25 - 9) \\ \\ = 3.14 \times 16 \\ \\ = 50.24\\ \\ \approx 50.2 \: {units}^{2} [/tex]

Look at the factors of 24 and 32.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 32: 1, 2, 4, 8, 16, 32

The GCF of 24 and 32 is
.

Answers

GCF of 24 and 32 is 8

Which system below has no solution?
y=-4 * and y= 2 x-3
y= 4 * and y= 2 x - 3
y=-4* and y= 2 x + 3
y=-4-* and y= 2 x-3

Answers

Answer:

y=-4-* and y= 2 x-3

Step-by-step explanation:

Answer:

y = 4^ and y = 2 x - 3

e/3=15 (please help)

K/8= 20

Answers

Answer:

Download the app "Photo Math" it will help you to solve all of your math problems.

What is the result when we simplify the expression ( 1 + 1/ x ) ( 1 − 2/ x + 1 ) ( 1 + 2/ x − 1 )

Answers

Answer:

[tex] \frac{4(x + 1)(x - 1)}{ {x}^{3} } [/tex]

Step-by-step explanation:

I have a app called photomath, I really hope this works.


A photo album costs $10.49 before discount and tax.
There is a 30% off discount. After the discount, a 6%
sales tax is added.
What is the total after discount and tax?

Answers

Answer:

Total after tax and discount is $7.78

Step-by-step explanation:

(10.49×0.3)= 3.15

10.49 - 3.15 = 7.34

(7.34×0.06)= 0.44

7.34 + 0.44 = 7.78

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

63+38= 101

180-101= 79

9x=81

x=9


You and your family had dinner at Outback, the bill was 65$. You leave a 15% tip for the waitress.
-What is the tip amount?
-What is the total bill amount, including the tip?

Answers

Answer:

Tip amount - 2.40

Total Bill amount including the tip - 67.04

Step-by-step explanation:

8i +6 – 3i +8 simplify each expression

Answers

Answer:

5i + 14

Step-by-step explanation:

combine like terms

8i - 3i = 5i

6 + 8 = 14

rewrite expression

5i + 14

Hope This Helps!!

:)

Please help me
PLEASE

Answers

Answer:

y=2x

Step-by-step explanation:

(2-0)              2

--------    =     -------

(1-0)              1

y=2x

Answer:

All I know is that this relation is a function

Step-by-step explanation:

On a trip to Mexico, Sheika bought a piece of jewelry that cost 43.65. She paid for it with her credit card, which charges a foreign transaction fee of 3%. How much was the foreign transaction fee? Round to the nearest hundredth

44.96
1
1.31
13.10

Answers

Answer:

The extra fee was 1.31

It brought her total up to 44.96

Hi there!

fee:1.31

1.Multiply percent term by 0.01:

[tex]3[/tex]·[tex]0.01=0.03[/tex]

2.Multiply cost by 0.03:

[tex]43.65[/tex]·[tex]0.03= 1.3095[/tex]

3.Round into nearest hundred:

[tex]1.3095=1.31[/tex]

Therefore, the cost of the fee would be 1.31$.

Which equation has a greater rate of change than the rate shown in the graph

Answers

Answer:

Step-by-step explanation:

Rate of change of the graph is the slope of the line, which is ¼.

slope of y = ⅖x = ⅖ > ¼

Please help I have 10 mins to turn in☹️ worth 30pts

Answers

Answer:

The answer should be the third one  y= x/2 +6

Step-by-step explanation:

Brainliest pls UnU

Answer:

C :D

Step-by-step explanation:

Have a great day :)

Can someone pls help me with this?

Answers

Answer:

c

Step-by-step explanation:

the graph shows that becky started at ten dollars and everyday it goes down by 3 so c is the correct answer

Pls help Using the figure below, identify the interior and exterior angles.

Answers

Answer:

interior angle=5&3 and4&6

exterior angle=5&2,6&1,3&8,4&7

25 divided by 100 using long divison

Answers

4 is the answer!!!!!!!!

Answer:

4 have a great day (ik it's long but still helps)

Step-by-step explanation:

Here we will show you step-by-step with a detailed explanation of how to calculate 100 divided by 25 using long division.

Before you continue, note that in the problem 100 divided by 25, the numbers are defined as follows:

100 = dividend

25 = divisor

Step 1:

Start by setting it up with the divisor 25 on the left side and the dividend 100 on the right side like this:

           

 2 5 ⟌ 1 0 0

Step 2:

The divisor (25) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 2 5 ⟌ 1 0 0

Step 3:

Multiply the divisor by the result in the previous step (25 x 0 = 0) and write that answer below the dividend.

       0    

 2 5 ⟌ 1 0 0

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 2 5 ⟌ 1 0 0

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (0) like this:

       0    

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

Step 6:

The divisor (25) goes into the bottom number (10), 0 time(s). Therefore, put 0 on top:

       0 0  

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

Step 7:

Multiply the divisor by the result in the previous step (25 x 0 = 0) and write that answer at the bottom:

       0 0  

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (10 - 0 = 10) and write the answer at the bottom.

       0 0  

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

     -   0  

       1 0  

Step 9:

Move down the last digit of the dividend (0) like this:

       0 0  

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

     -   0  

       1 0 0

Step 10:

The divisor (25) goes into the bottom number (100), 4 time(s). Therefore put 4 on top:

       0 0 4

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

     -   0  

       1 0 0

Step 11:

Multiply the divisor by the result in the previous step (25 x 4 = 100) and write the answer at the bottom:

       0 0 4

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

     -   0  

       1 0 0

       1 0 0

Step 12:

Subtract the result in the previous step from the number written above it. (100 - 100 = 0) and write the answer at the bottom.

       0 0 4

 2 5 ⟌ 1 0 0

     - 0    

       1 0  

     -   0  

       1 0 0

     - 1 0 0

           0

You are done because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 100 divided by 25 calculated using Long Division is:

4

0 Remainder

Which expression is equal to 75√?


75√25

75√5

355√

4935√

Answers

Answer:

B

Step-by-step explanation:

Which is greater -6/24 or -2/8

Answers

-2/8, you can simplify both -6 and 24 by 3 and get the appropriate answer

Answer:

They are equal...

Step-by-step explanation:

-2/8 is simplified from -6/24 as the 6 and the 24 can be simplified. 6 goes into 24 three times.

Use the table below to find what the out put will be when the input is 54. Explain

Answers

Answer:

The answer is 15

Step-by-step explanation:

adding 3 to y for each time 1 is added to y. since you start with a base of 9, we can conclude this answer by taking 3 times 15, which is 45, then adding 9, which makes 54. Like this:

0 | 9

1 | 12

2 | 15

...

13 | 48

14 | 51

15 | 54

a) Simplify e® * e^
b) Simplify (4ab)
c) Simplify
36n'p
9np

Answers

Answer:

a)e^9

b)64a^3b^6

c)4n^3p^4

I hope It helps you have a good day.

30% of what equals 180

Answers

Answer:

600

Explination:

30% of 600 = 180

Answer:

600

Step-by-step explanation:

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