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# Geometry....:(

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A boat in calm seas travels in a straight line and ends the trip 22 km west and 53 km north of its original position. To the nearest tenth of a degree, find the direction of the trip.

Feb 12, 2020

#1
+22108
+1

arctan (53/(-22) )   =   112.5 degrees

Feb 12, 2020
edited by Guest  Feb 12, 2020
#3
0

I have to show my work.

Guest Feb 12, 2020
#4
0

I did show the work......

= 53 / -22

arctan 53 / -22 =   112.5 degrees   (it is in the second quadrant     y is positive (53)   x is negative (22)

Guest Feb 12, 2020
#5
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Okay, now what do I say for the direction...My teacher will count off If I don't answer the whole question

Guest Feb 12, 2020
#6
+2850
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ummmm can't you just do it yourself?

its like 5 seconds....

CalculatorUser  Feb 12, 2020
#2
+2850
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SOH CAH TOA

We use TOA in this case because only the legs of a triangle is used. We are also calculating the angle of elevation.

Opposite = 53

Tan(x) = 53/22

x = arctan(53/22)

Is this correct?

TBH web2.0calc should implement a drawing program where you can draw something quickly and insert it.

Feb 12, 2020
edited by CalculatorUser  Feb 12, 2020