Question

. Solve the following problem using analytical techniques: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position?

Answer 1

Answer:

H = 30.8 m

$\theta =54.25^0$

Explanation:

given,

first walks straight west = 18 m

then straight in north = 25 m

the distance from the start point

H² = B² + P²

H² = 18² + 25²

$H = \sqrt{18^2+25^2}$

$H = \sqrt{324+625}$

H = 30.8 m

the angle between

$tan \theta = \dfrac{P}{B}$

$tan \theta = \dfrac{25}{18}$

$\theta = tan^{-1}(\dfrac{25}{18})$

$\theta =54.25^0$