Question

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 of Jan’s house. How far is it from Michelle’s house to Richard’s house?

Answer 1

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

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.