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Lubov Fominskaja [6]
3 years ago
12

You are sailing from your lakeshore cabin to a marina 60º north of east and 0.5 miles across the lake. On your return trip, you

decide to sail directly south and then west to get back to your cabin.
How far would you now have to sail?
a.
0.68 miles
b.
0.43 miles
c.
0.25 miles
d.
0.5 miles
Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
For this case what we should observe is that we have a rectangle triangle where we know:
 Angle.
 Hypotenuse.
 We want to know:
 opposite cateto
 Adjacent cateto
 We apply the following trigonometric formulas:
 Sine (x) = C.O / h
 Cosine (x) = C.A / h
 Where,
 x: angle
 C.O: opposite leg
 C.A: adjacent leg
 h: hypotenuse
 Substituting values:
 Sine (60) = C.O / 0.5
 Cosine (60) = C.A / 0.5
 Clearing:
 C.O = 0.5 * Sine (60) = 0.43
 C.A = 0.5 * Cosine (60) = 0.25
 Then, adding both sides we have:
 C.O + C.A = 0.43 + 0.25 = 0.68 miles
 Answer:
 
you now woluld have to sail:
 
a.
 
0.68 miles
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