Answer:
26.9 ft
Step-by-step explanation:
So this answer is going to require one of the trigonometric functions, which is the ratio of sides of a triangle. So I attached a diagram to my answer, which is depicting the given information and hopefully this should be able to help a bit.
Anyways, we know the hypotenuse, an angle, and the opposite side of the angle. There is a trigonometric function which is defined as: [tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]. We can use the sine function to solve for the opposite side. So let's plug in known values into this equation:
Known Values: theta=85 degrees, hypotenuse = 27 ft
[tex]sin(85)=\frac{opposite}{27 ft}[/tex]
Multiply both sides by 27 ft]
[tex]sin(85)*27ft=opposite[/tex]
Now you can approximate the value of sin(85) using your calculator, and make sure it's in degree mode not radian mode.
[tex]0.996194698*27ft\approx opposite[/tex]
Simplify
[tex]26.8973 ft\approx opposite[/tex]
Rounding this to one decimal place makes it
[tex]26.9 ft\approx opposite[/tex]
