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3 years ago

Find the values of x and y using trig

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

7 0

Answer:

Step-by-step explanation:

The triangle is a right angle triangle. This is because one of its angles is 90 degrees.

Let us determine x

Taking 47 degrees as the reference angle,

x = adjacent side

11 = hypotenuse

Applying trigonometric ratio,

Cos # = adjacent side / hypotenuse

# = 47 degrees

Cos 47 = x/11

x = 11cos47

x = 11 × 0.6820

x = 7.502

Let us determine y

Taking 47 degrees as the reference angle,

y = opposite side

11 = hypotenuse

Applying trigonometric ratio,

Sin # = opposite side / hypotenuse

# = 47 degrees

Sin 47 = y/11

x = 11Sin47

x = 11 × 0.7314

x = 8.0454

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3 years ago

Put these numbers in order from greatest to least.<br> 1 6/8,-10/25,-18/25,1

goldenfox [79]

$\textsf{Hey there!}$

$\textsf{Put these numbers in order from GREATEST to LEAST}$

$\bullet{\mathsf{ \ 1\dfrac{6}{8}}}$

$\bullet\mathsf{\ -\dfrac{10}{25}}$

$\bullet{\mathsf{\ -\dfrac{18}{25}}}$

$\bullet{\textsf{ 1}}$

$\star\textsf{ We know that fractions, decimals, negatives are BELOW 0 (on the left}$ $\textsf{of 0)}$

$\star\textsf{ \& we also know that positives and real numbers is/are ABOVE 0 (to the right}$ $\textsf{of 0)}$

$\textsf{Now we can answer your question}$

$\blacksquare \ \mathsf{1\dfrac{6}{8} = \dfrac{14}{8} = 1.75}$

$\blacksquare\ \mathsf{-\dfrac{10}{25} = -0.40}$

$\blacksquare\ \mathsf{- \dfrac{18}{25} = -0.72}$

$\blacksquare \ \mathsf{1 = 1}$

$\textsf{Look carefully at the stuff converted to the decimal or regular number \& }$ $\textsf{you will have your answer from \underline{greatest} to \underline{least}}$

$\boxed{\textsf{If you solved correctly you SHOULD have: \boxed{\mathsf{\dfrac{14}{8}, \ 1, \ - \dfrac{10}{25}\ ,\ -\dfrac{18}{25}}}}}\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

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3 years ago

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djverab [1.8K]

Answer:

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