A single-engine airplane is heading due east at a constant speed of 150 mi / h. There is a 30 mi / h cross wind blowing north. What is the plane's actual speed and direction? Round angles to the nearest degree and other values to the nearest tenth.

Question

07-02-2018
Mathematics

contestada

A single-engine airplane is heading due east at a constant speed of 150 mi / h. There is a 30 mi / h cross wind blowing north. What is the plane's actual speed and direction? Round angles to the nearest degree and other values to the nearest tenth.

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calculista calculista · Answer 1 · 2018-02-16T17:48:02+01:00

Let
F1------------------------- > airplane speed 150 mi / h East
F2-------------------------- > wind speed 30 mi / h North

calculate the resultant force R
F1x=150 F1y=0 F2x= 0 F2y=30
Rx=F1x+F2x------------- >150+0 ---------------- >Rx=150
Ry=F1y+F2y------------- >0+30 ---------------- >Rx=30
║R║=√150² 30²=√23400=152.97----- >153 mi/h
tan(theta)=Ry/Rx=30/150=0.20
arctan (0.20)=11.31 degrees-----------11.3 degrees

the answer is
actual speed 153 mi/h and direction 11.3 degrees North-East (I Quadrant)

madamsva madamsva · Answer 2 · 2022-07-17T06:02:14+02:00

madamsva madamsva

17-07-2022

Answer:

153 mi / h; N 79° E

Step-by-step explanation:

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