Posted by **jen** on Tuesday, June 5, 2012 at 6:29am.

if a wall is 34 feet, how tall must a ladder be to reach the top if at a 75 degree angle

- algebra -
**Jai**, Tuesday, June 5, 2012 at 7:39am
let x = length of ladder

if you draw the figure, you actually form a right triangle, where the ladder is the hypotenuse, and the wall is the height. Thus, we use trigonometry.

sin (angle) = opposite / hypotenuse

sin 75 = 34 / x

x = 34 / (sin 75)

x = 34 / 0.966

x = 37.27 ft

hope this helps~ :)

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