For safety reasons, the angle a ladder makes with the ground should be no greater than 66°. Find the length, to the nearest foot, of the shortest ladder that will safely reach a roof that is 28 feet high.
Added by Olivia R.
Step 1
Given that the opposite side (height of the roof) is 28 feet and the angle is 66 degrees, we can use the sine function: \[ \sin(66^\circ) = \frac{28}{x} \] \[ x = \frac{28}{\sin(66^\circ)} \] Show more…
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