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schepotkina [342]
3 years ago
5

Curt needs to hit his next shot close to the pin, which is surrounded by water. There is little room for error, and he doesn't k

now how far his ball is from the pin. Thankfully, Curt has a clever caddy who takes the following actions: walks 50 meters away from the ball measures the angle between Curt's ball and the pin instructs Curt to measure the angle between him (the caddy) and the pin With this information (shown below), the caddy determines the distance from the ball to the pin. Assuming Curt's clever caddy's calculations are correct, how far is the ball from the pin.

Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

105.7089 m

Step-by-step explanation:

[ Sine rule ] In a triangle ABC,

AB/sinC = BC/sinA = CA/sinB

Here, third angle = 180 - 83 - 69 = 28

By the above rule,

?/sin83 = 50/sin28

? = 50 * sin83/sin28

  = 105.7089

[If there's any problem with the solution, please inform me]

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<u>Part A)</u> 7(a+b)=7a+

Using the distributive property

7(a+b)=7a+7b

therefore

<u>the answer Part A is</u>

9-----> A

<u>Part R)</u>  4(5+x)=20+

Using the distributive property

4(5+x)=20+4x

therefore

<u>the answer Part R is</u>

14-----> R

<u>Part Y)</u> 3(2x+9)=6x+

Using the distributive property

3(2x+9)=6x+27

therefore

<u>the answer Part Y is</u>

4-----> Y

Part S)  8(3x+1)=+8

Using the distributive property

8(3x+1)=24x+8

therefore

<u>the answer Part S is</u>

23-----> S

<u>Part O)</u>  a(4+b)=+ab

Using the distributive property

a(4+b)=4a+ab

therefore

<u>the answer Part O is</u>

17-----> O  

<u>Part E)</u> x(y+10)=+10x

Using the distributive property

x(y+10)=xy+10x

therefore

<u>the answer Part E is</u>

3-----> E

<u>Part I)</u> 2(7x+4y)=14x+

Using the distributive property

2(7x+4y)=14x+8y

therefore

<u>the answer Part I is</u>

20-----> I

<u>Part D)</u> 6(9+5x)=54+

Using the distributive property

6(9+5x)=54+30x

therefore

<u>the answer Part D is</u>

10-----> D  

<u>Part W)</u> x(a+3b)=+3bx

Using the distributive property

x(a+3b)=ax+3bx

therefore

<u>the answer Part W is</u>

18-----> W

<u>Part E)</u> a(8x+2y)=8ax+

Using the distributive property

a(8x+2y)=8ax+2ay

therefore

<u>the answer Part E is</u>

7-----> E

<u>Part T)</u> 0.5(4a+10)=2a+

Using the distributive property

<u>Part T)</u> 0.5(4a+10)=2a+5

therefore

<u>the answer Part T is</u>

1-----> T

<u>Part R)</u> (2/3)(12+9y)=8+

Using the distributive property

(2/3)(12+9y)=8+6y

therefore

<u>the answer Part R is</u>

6-----> R  

<u>Part O)</u>  5x+5y=5(x+\ )

5x+5y=5(x+y)

therefore

<u>the answer Part O is</u>

13-----> O

<u>Part T)</u> 9a+9b=9(\ +b)

9a+9b=9(a+b)

therefore

<u>the answer Part T is</u>

22-----> T

Part W) 4m+4n=\ (m+n)

4m+4n=4(m+n)

therefore

<u>the answer Part W is</u>

16-----> W

<u>Part H)</u> ab+3a=a(b+\ )

ab+3a=a(b+3)

therefore

<u>the answer Part H is</u>

2-----> H  

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xy+15x=x(y+15)

therefore

<u>the answer Part E is</u>

11-----> E

Part A) bu+uv=\ (b+v)

bu+uv=u(b+v)

therefore

<u>the answer Part A is</u>

5-----> A

<u>Part F)</u> (2/5)m+(2/5)n=(2/5)( \ +n)

(2/5)m+(2/5)n=(2/5)(m+n)

therefore

<u>the answer Part F is</u>

12-----> F

<u>Part M)</u> (3/4)a+(3/4)b+(3/4)c=\ (a+b+c)

(3/4)a+(3/4)b+(3/4)c=(3/4)(a+b+c)

therefore

<u>the answer Part M is</u>

8-----> M  

<u>Part S)</u> 7ax+2ay=a(7x+\ )

7ax+2ay=a(7x+2y)

therefore

<u>the answer Part S is</u>

21-----> S

Part T) 4kx+11ky=\ (4x+11y)

4kx+11ky=k(4x+11y)

therefore

<u>the answer Part T is</u>

15-----> T

<u>Part R)</u> 3ay+8by=y(\ +8b)          

3ay+8by=y(3a+8b)

therefore

<u>the answer Part R is</u>

19-----> R

<u>the answer is</u>

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ASAP The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, a
andrey2020 [161]

Answer:

C. 97.5 yd

Step-by-step explanation:

The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.

Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:

c² = a² + b² - 2abcos(C)

Where,

c = distance between Marsha's ball and the hole = ?

a = distance between the tee for the fourth hole and the tee = 300 yd

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c² = 300² + 255² - 2(300)(255)cos(18)

c² = 90000 + 65025 - 153000 × 0.951

c² = 155025 - 145503

c² = 9522

c = √9522 ≈ 97.5

c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)

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3 years ago
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