Question

a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane flew and the direction​

Answer 1

Answer: 336.80 miles,
`15.85^(\circ)` North of east

Explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

`\Rightarrow d=√(324^2+92^2)\\\\\Rightarrow d=√(113,440)\\\\\Rightarrow d=336.80\ \text{miles}`

Direction is given by using figure i.e.

`\Rightarrow \tan \theta=(92)/(324)\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^(\circ)`

Direction is
`15.85^(\circ)` North of east