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A guy wire connects the top of a 18 3/4 foot tall tornado siren to the ground where Samson's shadow ends. The distance from the base of the siren pole to where the wire touches the ground is 120 feet. If Samson is 6 1/4 feet tall and his head barely touches the guy wire where he is standing, how long is Samson's shadow?

User Riadh
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1 Answer

7 votes

Answer:

40 feet

Explanation:

Required:

Find the length of Samson's shadow

The question can be illustrated with the attached figure where Samson's shadow is represented with x.

To solve for x, we make use of the following equivalent ratios:


18.75 : 120 = 6.25 : x

Convert to fraction


(18.75)/(120) = (6.25)/(x)

Cross Multiply


18.75 * x = 120 * 6.25


18.75 * x = 750

Make x the subject


x =(750)/(18.75)


x =40

Hence, Samson's shadow is 40ft

A guy wire connects the top of a 18 3/4 foot tall tornado siren to the ground where-example-1
User Poseid
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