Question

Find the width, w, of the V-slot shownA= 49°Z= 3.9 cm

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Redraw the given figure

STEP 2: Find the value of w/2

`\begin{gathered} Using\text{ the tan ratio;} \\ \tan\theta=(opp)/(adj) \\ tan24.5=(w)/((2)/(3.9))=(w)/(2)\cdot(1)/(3.9)=(w)/(7.8) \\ By\text{ cross multiplication,} \\ w=7.8\cdot0.455726255=3.554664793 \end{gathered}`

STP 3: Fins the value of w

`w\approx3.55cm`

Hence, the width is approximately 3.55cm