A 100ft ladder rests on top of a hook and ladder truck with its base 11 feet from the ground. When the angel of elevation of the ladder is 81", how high up the building will the ladder reach?

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asked Dec 8, 2021 197k views

5 votes

A 100ft ladder rests on top of a hook and ladder truck with its base 11 feet from the ground. When the angel of elevation of the ladder is 81", how high up the building will the ladder reach?

Mathematics
high-school

James Skemp asked

by James Skemp

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1 Answer

4 votes

Answer:

99.39ft

Explanation:

From Pythagoras theory,

x² = 100² - 11²

x² = 10000 - 121

x² = 9879

x = 99.39ft

Montaro answered Dec 13, 2021

by Montaro

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