Answered

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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 .

Sagot :

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

[tex]\cos (\theta)=\frac{AS}{H}[/tex]

where

θ= 60°

AS=x

H=15 ft

we substitute the values

[tex]\cos (60)=\frac{x}{15}[/tex]

we need to isolate the x

[tex]x=\cos (60)(15)=7.5ft[/tex]

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

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