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29 votes
29 votes
a ladder 15 feet long leans against a house and make a angle of 60 degrees with the ground . find the distance from the house to the foot of the ladder .

User Niteria
by
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1 Answer

28 votes
28 votes

We can use the next diagram in order to solve the question

we need to find x, x is the distance from the house to the foot of the ladder, we will use a trigonometric function in order to find x in this case we will use the cosine


\cos (\theta)=(AS)/(H)

where

θ= 60°

AS=x

H=15 ft

we substitute the values


\cos (60)=(x)/(15)

we need to isolate the x


x=\cos (60)(15)=7.5ft

the distance from the house to the foot of the ladder is 7.5 ft

a ladder 15 feet long leans against a house and make a angle of 60 degrees with the-example-1
User Eldi
by
3.0k points
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