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Chapter 3: Q6P (page 57)

In Fig.3-27, a heavy piece of machinery is raised by sliding it a distanced=12.5malong a plank oriented at angle胃=20.0掳to the horizontal. How far is it moved (a) vertically and (b) horizontally?

Short Answer

Expert verified

a) Vertical height is4.28m

b)Horizontal distance is11.7m

Step by step solution

01

To understand trigonometric functions

Trigonometry is used to compute heights of structures, construct maps, and locate islands using longitudes and latitudes. In this problem,using the following trigonometric relation and the given incline length, the distance moved by the heavy piece vertically and horizontally can be computed.

h=dsin胃x=dcos胃ii

Where,handxare the height and horizontal distance respectively.

Given

d=12.5mand胃=20.0掳
02

To find vertical height h 

Using equation (i), hcan be written as,

h=dsin胃=12.5脳sin20.0掳h=4.28m

03

To find horizontal distancex

Using equation (ii), xcan be written as,

x=dcos胃=12.5脳cos20.0掳x=11.7m

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