SOLUTION: A 15 foot ladder leans against the side of a bulding creating an angle of 28 degrees with the building. How far is the base of the ladder from the side of the bulding?
Algebra.Com
Question 288925: A 15 foot ladder leans against the side of a bulding creating an angle of 28 degrees with the building. How far is the base of the ladder from the side of the bulding?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A 15 foot ladder leans against the side of a bulding creating an angle of 28 degrees with the building. How far is the base of the ladder from the side of the bulding?
---------
Draw the picture.
You have a right triangle with hypotenuse = 15 ft.
and a 28 degree angle where the ladder hits the building.
--------------------
Let the base be "b":
Equation:
sin(28) = b/15
b = 15*sin(28)
b = 7.042 feet
===========================
Cheers,
Stan H.
RELATED QUESTIONS
A 12 foot ladder leans against the side of a building, making an angle of 30 degrees with (answered by Earlsdon)
To repair a roof that is 15 feet high, Mr. Bowen leans a 17-foot ladder against the side... (answered by ikleyn)
A 24ft ladder leans against a building and makes an angle of 60 degrees with the ground.... (answered by Cromlix)
A ladder is leaning against the side of a building . The ladder is 30 feet long, and the... (answered by littlealice,jim_thompson5910)
A 45-foot ladder leans against a building point 27 feet above the ground. How far is the... (answered by jorel1380)
Joseph leans a ladder that us 15 feet long against a building. The ladder is 12 feet away (answered by mananth)
A six-meter-long ladder leans against a building. If the ladder makes an angle of 60... (answered by rothauserc)
A 15 foot ladder leans up against a building, The foot of the ladder is 5 feet from the... (answered by JulietG)
A ladder leans against a vertical wall and makes an angle of 70 degrees with the ground.... (answered by TimothyLamb)