SOLUTION: A 7 feet long ladder leans against a wall and makes an angle of 60 degrees with the ground. How high up the wall does the ladder reach?
A)2√3 /7
B)7√3 /2
C)√3
Algebra.Com
Question 1089313: A 7 feet long ladder leans against a wall and makes an angle of 60 degrees with the ground. How high up the wall does the ladder reach?
A)2√3 /7
B)7√3 /2
C)√3 /14
D)7√3
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
SOH
Let's call the height x. To solve we want to find the side opposite the angle, so we use SOH (sine = opposite/hypotenuse.
---------------------------------
sin(60) = x/7
0.866 * 7 = x
x = 6.062 = 7√3/2 this is your answer
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