Chapter MPS, Problem 13.2MPS

To determine

To find:How far ladder will reach.

Answer to Problem 13.2MPS

The ladder will reach till 5.7 feet.

Explanation of Solution

Given information:

Height of ladder is 6 feet.

Angle made by ladder with ground $71°$ .

Formula used:

  $\sin \theta =\frac{Perpendicular}{Hypotenuse}$

By given conditions,

  

  $\tan \theta =\frac{Perpendicular}{Hypotenuse}$

  $\begin{array}{l}\theta =71°\\ hypotenuse=6feet\end{array}$

  $\begin{array}{l}\sin \theta =\frac{Perpendicular}{Hypotenuse}\\ \\ \sin 71°=\frac{Perpendicular}{6}\\ \\ 0.95\times 6=Perpendicular\\ \\ Perpendicular=5.7feet\end{array}$

The ladder will reach till 5.7 feet.