Question

Can someone help me solve this

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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: $sin(\theta)=\frac{opposite}{hypotenuse}$. 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

$sin(85)=\frac{opposite}{27 ft}$

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

$26.9 ft\approx opposite$