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LekaFEV [45]
2 years ago
9

Every weekend me and my brother and my cousin go outside to play basketball and when i was the one who will shoot the ball to th

e ring i used the things i learned in math so I use SOH-CAH-TOA in measuring it. I want to measure the distance between me and the basketball ring. Supposed the height of the ring is 8ft from the ground and the distance between me and the basketball ring horizontally is 11.5 ft, and the angle of elevation from the ground is 50 degrees, now what is the distance of me and the ring?
Let x be the distance between me and the ring

need urgent answers with equation
by using SOH from SOHCAHTOA

Mathematics
2 answers:
Damm [24]2 years ago
8 0

Answer:

10.433cm

Step-by-step explanation:

Using SOH from TOACAHSOH,

sin50deg =  \frac{opposite}{hypotenuse}

From here we know there the opposite is 8ft (height of the ring) and hypotenuse is what we want to find, distance between you and the ring.

sin(50) =  \frac{8}{x}  \\ x \sin(50) = 8 \\ x =  \frac{8}{ \sin(50) }   \\ x = 10.443cm(rounded \: to \: 5sf)

Rus_ich [418]2 years ago
6 0

Answer:

10 . 44 ft

Step-by-step explanation:

sin 50 = opposite leg / hypotenuse = 8 / x

8 / sin 50 = x    = 10 .44  ft

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How many times larger than 4x10power of 3is 8 x 10 power of 6<br> Chose
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Answer:

idk

Step-by-step explanation:

4 0
3 years ago
Cody was 165\,\text{cm}165cm tall on the first day of school this year, which was 10\%10% taller than he was on the first day of
Doss [256]

Answer:

165 cm.

Step-by-step explanation:

Let h be the height of Cody on the first day of school last year.

We have been given that Cody was 165 cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

To find the height of Cody on the first day of school last year, we need to find h such that h plus 10% of h equals 165. We can represent this information in an equation as:

h+10\%\text{ of }h=165

h+(\frac{10}{100}*h)=165

h+0.10*h=165

1.10*h=165

Let us divide both sides of our equation by 1.10.

\frac{1.10*h}{1.10}=\frac{165}{1.10}

h=150

Therefore, Cody was 150 cm tall on the first day of school last year.

5 0
4 years ago
Explain how knowing 50 x 4 = 200 helps you find 500 X 400?
Simora [160]
If you know the answer to 50 x 4 = 200 then you can just add the other zeros
4 0
3 years ago
Chris buys 7 patatoes for 84 pesos, how many patatoes can he buy for 144 pesos?
Aleksandr-060686 [28]

Answer:

12 patatoes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The system of equations is given:
Nutka1998 [239]

Answer:

x=-1/85; y=-283/85; z=2/17

Step-by-step explanation:

Using an algebraic method like elimination or substitution would take a lot of steps which could lead to mistake the calculations. In this case, I decided to use the Gaussian elimination. We can express the system in matrix form as follows:

\left[\begin{array}{ccc}2&-4&6\\9&-3&1\\5&0&9\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}14\\10\\1\end{array}\right]

To begin the calculations, we write the system in augmented matrix form and use the Gaussian elimination:

\left[\begin{array}{ccccc}2&-4&6&|&14\\9&-3&1&|&10\\5&0&9&|&1\end{array}\right]

By applying the Gaussian elimination, the final matrix is the following:

\left[\begin{array}{ccccc}1&0&0&|&-1/85\\0&1&0&|&-283/85\\0&0&1&|&2/17\end{array}\right]

In order to verify the results, it´s enough to substitute the calculated values in the original equations to see if the equalities are correct. Here you can see the verification for all of the equations:

2(-1/85)-4(-283/85)+6(2/17)=14\\9(-1/85)-3(-283/85)+1(2/17)=10\\5(-1/85)+9(2/17)=1

6 0
3 years ago
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