All categories

2 years ago

Please help!! law of sines and cosines related

Mathematics

1 answer:

pickupchik [31]2 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 :

You might be interested in

Mike was in charge of a special sports day at the Community Center. A company donated 50 boxes of ice cream bars, with 12 bars i

Anna007 [38]

The right answer is Option D.

Step-by-step explanation:

Boxes of ice cream received = 50

Ice-creams in each box = 12

Total ice-cream bars = No. of boxes * Ice cream bars in each box

Total ice-cream bars = $12*50=600$

No. of people who had ice cream bars = 520

Ice-cream bars left = Total ice cream bars - No. of people who had ice cream

Ice cream bars left = $600-520=80$

80 ice cream bars were left.

The right answer is Option D.

Keywords: multiplication, subtraction

Learn more about subtraction at:

#LearnwithBrainly

8 0

3 years ago

Which is the last operation performed when evaluating (8-2x)+4

jek_recluse [69]

Short Answer: Combine like terms
Remark
Just from what I see here, remove the brackets first and combine like terms second.

Discussion
8 - 2x + 4 The like therms are 8 and 4 First step
12 - 2x That's the answer. Don't go any further. 2nd and last step

3 0

2 years ago

6(21)+6(31) evaluate

Artist 52 [7]

6(21)=72 6(31)=186
add 72+186=258

258 is the answer

6 0

2 years ago

Read 2 more answers

Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cu

Flura [38]

The correct answer is option B which is mixture B will have the highest ratio of blue paint.

<h3>What is a ratio?</h3>

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

<h3 />

The given ratios are:-

Mixture A = $\dfrac{5}{12} = 0.41$

Mixture B = $\dfrac{6}{6}= 1$

Mixture C = $\dfrac{4}{12}= 0.33$

Mixture B = $\dfrac{5}{6}=0.83$

Here the ratio of mixture B is the highest among all the options available.

Therefore the correct answer is option B which is mixture B will have the highest ratio of blue paint.

To know more about ratios follow

brainly.com/question/2328454

#SPJ1

4 0

2 years ago

A particular state has elected both a governor and a senator. Let A be the event that a randomly selected voter has a favorable

Elodia [21]

Answer:

Step-by-step explanation:

Given that A be the event that a randomly selected voter has a favorable view of a certain party’s senatorial candidate, and let B be the corresponding event for that party’s gubernatorial candidate.

Suppose that

P(A′) = .44, P(B′) = .57, and P(A ⋃ B) = .68

From the above we can find out

P(A) = $1-0.44 = 0.56$