He wants to support a scale of 8 m on the wall of his house to access the to install its 5,400 roof lights Christmas. For a ladder to be installed from safe way, his foot should be placed at a certain distance from the wall. This distance must be between the quarter and the fifth of the scale measurement. Is it possible to meet this safety standard if the House has a height of 7.8 m ?   Choice of answers (a) this safety standard cannot be met. b) it is possible to meet this safety standard since the ladder must be placed 1.78 m from the wall. (c) it is possible to comply with this safety standard since the safety standard is between 1.5 M and 2m. (d) it is possible to comply with this safety standard by placing the ladder at 2.08 m from the wall.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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He wants to support a scale of 8
m on the wall of his house to access the
to install its 5,400 roof lights
Christmas. For a ladder to be installed from
safe way, his foot should be placed at
a certain distance from the wall. This distance
must be between the quarter and the
fifth of the scale measurement. Is it
possible to meet this safety standard
if the House has a height of 7.8 m ?

 

Choice of answers
(a) this safety standard cannot be met.
b) it is possible to meet this safety standard since the ladder must be
placed 1.78 m from the wall.
(c) it is possible to comply with this safety standard since the safety standard
is between 1.5 M and 2m.
(d) it is possible to comply with this safety standard by placing the ladder at 2.08 m from the
wall.

Expert Solution
Analysis:

according to the question:

Geometry homework question answer, step 1, image 1

Also, it is given in the statement of the question  "his foot should be placed at a certain distance from the wall. This distance
must be between the quarter and the fifth of the scale measurement".

therefore,

Geometry homework question answer, step 1, image 2

Calculation:

now it can be seen from the diagram the figure is a right angle triangle:

hypotenuse(H)=8m

base(B)=xm

Perpendicular(P)=7.8m

according to Pythagoras theorem:

Geometry homework question answer, step 2, image 1

steps

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Solved in 3 steps with 3 images

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