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joja [24]
3 years ago
11

Solve for an angle in right triangles help

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer:

71.57

Step-by-step explanation:

Tangent = opposite over adjacent (sides)

TanA = ( 9/3 )

A = Tan^{-1}(3)

A = 71.57

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Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of eleva
torisob [31]

Answer:

h = 15.163\ meters

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

tan(30) = (h - 1.5) / x

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

tan(45) = (h - 1.5) / (x - 10)

So rewriting both equations using the tangents values, we have that:

0.5774 = (h - 1.5) / x

1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)

From the first equation, we have that:

x = (h - 1.5) / 0.5774

Using this value of x in the second equation, we have that:

h - 1.5 =  \frac{ (h - 1.5) }{0.5774} - 10

h + 8.5 =  \frac{ (h - 1.5) }{0.5774}

0.5774h + 4.9079 = h - 1.5

0.4226h = 6.4079

h = 15.163\ meters

5 0
3 years ago
use the elimination method to solve the system of equations choose the correct ordered pair -x + y = -2 2x - 3y = 4
mafiozo [28]

Answer:

The answer is (2, 0).

I hope this helps!

8 0
3 years ago
Cuanto es 1/3 en decimal y cuanto es 1/2 en decimal
sattari [20]

Answer:

1/3 in decimal = 0.(3)

1/2 in decimal = 0.5

Spanish:

1/3 en decimal = 0. (3)

1/2 en decimal = 0.5

Step-by-step explanation:

Divide the numerator by the denominator

divide 1 by 3 and 1 by 2

Spanish:

Divide el numerador entre el denominador

dividir 1 entre 3 y 1 entre 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Spanish:

Si mi respuesta es incorrecta, por favor corríjame.

Si te gusta mi respuesta y explicación, ¡márcame como más inteligente!

-Chetan K

6 0
3 years ago
Read 2 more answers
If x = 12, what is the value of 5(x - 2)?<br> OA. 70<br> B. 58<br> OC. 50<br> D. 10
lesya692 [45]
5(12-2)=60-10=50
C.50
6 0
3 years ago
Read 2 more answers
Use the given data to find the equation of the regression line. x 44 44 11 11 55 y 66 55 negative 1−1 negative 3−3 88 ModifyingA
Temka [501]

Answer:

y=1.98 x -24.34

Step-by-step explanation:

Assuming the following data

X: 44, 44, 11, 11, 55

Y: 66, 55, -1, -3, 88

We want to find a linear model Y= mx +b

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =44+44+11+11+55=165

\sum_{i=1}^n y_i =66+55-1-3+88=205

\sum_{i=1}^n x^2_i =7139

\sum_{i=1}^n y^2_i =15135

\sum_{i=1}^n x_i y_i =10120

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=7139-\frac{165^2}{5}=1694

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=10120-\frac{165*205}{5}=3355

And the slope would be:

m=\frac{3355}{1694}=1.98

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{165}{5}=33

\bar y= \frac{\sum y_i}{n}=\frac{205}{5}=41

And we can find the intercept using this:

b=\bar y -m \bar x=41-(1.98*33)=-24.34

So the line would be given by:

y=1.98 x -24.34

4 0
3 years ago
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