The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is <em>approximately </em>25.88 feet.
The ladder forms a right triangle as it lies against the wall as shown in the image below.
<em><u>Thus:</u></em>
x = length of the ladder (hypothenuse)
Reference angle
25 ft = Opposite
Apply SOH:
<em>Thus</em>,
- Plug in the values
Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is <em>approximately </em>25.88 feet.
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