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 ->  Trigonometry-basics -> 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       Log On


   

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) About Me  (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.
------------