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August 20, 2014

August 20, 2014

Posted by **Allison** on Friday, October 26, 2012 at 12:29am.

- Trigonometry -
**Henry**, Saturday, October 27, 2012 at 4:05pmWe form 2 similar rt. triangles:

Triangle #1.

X = Hor. side = dist. from P to the car.

Yi = Ver. side.

A = 30o.

Triangle #2.

X = Hor. side = Dist. from P to the car.

Y2 = Y1+50 = Ver. side.

A = 35o.

Use aw of Sines.

sin30/Y1 = sin35/(Y1+50).

Cross multiply:

(Y1+50)sin30 = Y1*sin35

Y1/2+25 = 0.574Y1

Multiply both sides by 2:

Y1+50 = 1.148Y1

1.148Y1-Y1 = 50

0.148Y1 = 50

Y1 = 337.8 m.

tan30 = Y1/X = 337.8/X

X = 337.8/tan30 = 585 m.

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