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KATRIN_1 [288]
3 years ago
9

Michelle’s house is 22 miles due north of Jan’s house and 30 degrees northeast of Richard’s house. Richard’s house is due east o

f Jan’s house. How far is it from Michelle’s house to Richard’s house?
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

Michelle’s house is 44 miles to Richard’s house.

Step-by-step explanation:

The distance can be found out by using the trigonometric ratio of sine theta

Sine theta= Perpendicular/ Hypotenuse

We know the values of hypotenuse and theta

Sine 30 = 22/ Hypotenuse

Hypotenuse= 22/ sine 30

Hypotenuse= 22/0.5

Hypotenuse = 44

The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.

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\huge\mathfrak\green{answer}

= q -   \frac{q7}{10} c =  \frac{41}{5}

\red{multiply}

= q -  \frac{cq7}{10} =  \frac{41}{5}

\red{subtract \: q \: from \: both \: sides}

= q -  \frac{cq7}{10}  - q =  \frac{41}{5} - q

\red{now \: simplify}

=  -  \frac{cq7}{10}  =  \frac{41}{5}  - q

\red{multiply \: 10 \: both \: sides}

= 10( -  \frac{cq7}{10} ) = 10. \frac{41}{5}  - 10q

\red{simplify}

=  - cq7 = 82 - 10q

\red{now \: divide}

=  \frac{ - cq7}{ - q7}  -  \frac{82}{ - q7}  -  \frac{10q}{ - q7}

\red{simplify}

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Brainliest? :) (I'd really appreciate if you mark me as brainliest)

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