michael leaves home and drives 17 miles west to work. after work he travels 9 miles to a friend’a house. if the bearing from wor
k to the friend’s house is S 24degree E, find the distance between the friend’a house and home.
1 answer:
The distance between the friend's house and home is 14.263 miles.
<u>Explanation:</u>
Base, b = 17 miles
angle, S = 24°
Distance between friend's house and home, p = ?
We know,
tan 24° = p/b
tan 24° = p/17
0.839 = p/17
p = 14.263 miles
Therefore, distance between the friend's house and home is 14.263 miles.
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