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KATRIN_1 [288]
2 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]2 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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