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Alisiya [41]
3 years ago
15

Please help!! law of sines and cosines related

Mathematics
1 answer:
pickupchik [31]3 years ago
4 0

Answer:

as below

Step-by-step explanation:

to find the height of the pole recall the relationship of sin cos and tan to the triangle with this helpful mnemonic   SOH CAH TOA

Sin = Opp / Hyp

Cos = Adj / Hyp

Tan = Opp / Adj

we will need to solve two triangles and subtract  them.

one is the 15° one of the slope of the road and the other is the 57° one that is the angle of the sun. sooooo,

lets solve the 15° one first.  We are told that the adj side is 75'

since we know the angle and the adj side and we want to find the Opp side let's use Tan b/c it has all of those in it :)  

Tan(15) = Opp / 75

75*Tan(15) = Opp   ( I'll put my calculator to work for this )

20.096 = Opp

that's the height of the road to the bottom of the flag pole along that flag pole axis into the ground  

next lets solve the 57°  triangle in the exact same way

Tan(57) =Opp / 75

75*Tan(57) = Opp

115.4898 = Opp

the tall triangle is the one that goes all the way into the ground,  the small one is the one that is under the ground

so subtract the small one from the big one to find the height of the flag pole above the ground

115.4898-20.096 = 95.3938

so the flag pole is about 95.4 feet tall

:o that's pretty tall :

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Helga [31]

This number is written in extended form. Each multiplication determines the place the digit is in the number you have to determine.

4*100 → This indicates that the first digit of the number is in the place of the "hundreds", if you solve the multiplication the result is 400

2*10 → This multiplication indicates that the second digit of the number is in the place of the "tens", the result of the multiplication is 20

4*1 → This multiplication indicartes that the third digit of the number represents the "units", te result of the multiplication is 4

After the units you have to put the decimal point and all digits below it will be decimal values.

7*(1/10) → The first digit after the decimal point is in the "tenths" place, you can write it as 0.7

7*(1/100) → This indicates that this digit is in the second place after the decimal dot, in the "hundredths" place, you can write it as 0.07

0*(1/1000)→ The multiplication indicates that the digit is in the third place after the decimal dot, in the "thousands" place, you can write it as 0.000

To write the number in decimal form you have to put each digit in their given order, or add the result of each multiplicatin toghether:

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7 0
1 year ago
Surface area of a box 12 x 6 x 9.5
Ber [7]

9514 1404 393

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Step-by-step explanation:

Use the surface area formula with the given numbers.

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The surface area of the box is 486 square units.

4 0
3 years ago
Which number should each side of the equation 3/4x = 9 be multiplied by to produce the equivalent equation of x =12
S_A_V [24]
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3 years ago
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solmaris [256]

Answer:

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I hope it's helps you

8 0
3 years ago
14-8711
Norma-Jean [14]

Answer:

$4,208.5

Step-by-step explanation:

The simple interest rate of the college savings account, R = 5.5%

The amount with which the account was opened, P = $500

The amount added each month to her account = $50

The amount in her account after 4 years = Required

The interest on each added $50 is given as follows;

50  × 0.055/12 × (1 + 2 + 3 + ... + 47) = 50  × 0.055/12 × (47/2)(1 + 47) = 258.5

The total amount deposited = 500 + 50 × 47 = $2,850

The total interest = 500×0.55×4 + 50  × 0.055/12 × (47/2)(1 + 47) = 1,358.5

The amount in her account at the end of 4 years, <em>A</em>, is given as follows

A = $2,850 + $1,358.5 = $4,208.5

8 0
3 years ago
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