Question

A truck leaves the warehouse and travels north for one hour at 50 mi/hr and then travels east for 2 hours at 50 mi/hr. Find the trucks distance and direction from the warehouse( to the nearest mile and the nearest degree)HELP ASAP PLEEASE

Answer 1

Solution

Part A

The distance x

$\begin{gathered} x^2=50^2+100^2 \\ \\ x=\sqrt{12500} \\ x=50\sqrt{5} \\ x=111.8033 \end{gathered}$

Distance 112 (Nearest mile)

Part B

$\begin{gathered} tan\theta=\frac{100}{50} \\ \theta=tan^{-1}2 \\ \theta=63.43^0 \end{gathered}$

Direction 63 degree (Nearest degree)