SOLUTION: a 30 foot ladder leaning against the side of a house makes a 68 degree angle with the ground. how far up the side of the house does the ladder reach
Algebra.Com
Question 959056: a 30 foot ladder leaning against the side of a house makes a 68 degree angle with the ground. how far up the side of the house does the ladder reach
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a 30 foot ladder leaning against the side of a house makes a 68 degree angle with the ground. how far up the side of the house does the ladder reach
-------
Sketch the picture::
You have a right triangle with hypotenuse = 30 ft
and acute base angle = 68 degrees.
-----
Equation:
sin(68) = height/hypotenuse
-----
height = sin(68)*30 = 27.82 ft.
============
Cheers,
Stan H.
------------
RELATED QUESTIONS
A 24 foot ladder is leaning against a house. It makes a 76 degree angle with the ground.... (answered by FrankM)
A ladder leaning against a house makes an angle of 30 degrees with the ground. the foot... (answered by mananth,dabanfield)
A ladder is leaning against the side of a house and forms a 65 degree angle with the... (answered by Theo)
A ladder is leaning up against a house. If the angle of the ladder with the ground is... (answered by Theo)
A ladder is leaning against the side of a building . The ladder is 30 feet long, and the... (answered by littlealice,jim_thompson5910)
A 25 foot ladder is leaning against a house and forms a 32 degree angle with the ground... (answered by Cromlix)
A ladder leaning against a house makes an angle of 60 degrees with the ground. The foot... (answered by Boreal,MathTherapy)
A ladder is leaning against a house and is forming a 60 degree angle with the ground. If... (answered by tomlaidlaw)
A 30-foot ladder is leaning against a house, with the foot of the ladder 8 feet from the... (answered by richwmiller)