Question

Can someone help me solve this

Answer 1

Explanation:

Answer 2

26.9 ft

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:
`sin(\theta)=(opposite)/(hypotenuse)`. 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

`sin(85)=(opposite)/(27 ft)`

Multiply both sides by 27 ft]

`sin(85)*27ft=opposite`

Now you can approximate the value of sin(85) using your calculator, and make sure it's in degree mode not radian mode.

`0.996194698*27ft\approx opposite`

Simplify

`26.8973 ft\approx opposite`

Rounding this to one decimal place makes it

`26.9 ft\approx opposite`