Answer:
17.5 ft
Step-by-step explanation:
Given
[tex]Ladder = 18ft[/tex]
[tex]\theta = 76[/tex]
Required
The height which the ladder reaches on the wall
The question is illustrated with the attached image (solve for x).
Using sine formula, we have:
[tex]\sin(76) = \frac{x}{18}[/tex] --- i.e. sin = opposite/hypotenuse
Make x the subject
[tex]x = 18 * \sin(76)[/tex]
[tex]x = 18 * 0.9703[/tex]
[tex]x = 17.4654[/tex]
Approximate
[tex]x = 17.5[/tex]
