Answered

IDNLearn.com: Your trusted platform for finding reliable answers. Get the information you need from our community of experts, who provide detailed and trustworthy answers.

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

View image NykiaY294720
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.