We are given that Anna is watching a space shuttle launch 6 miles from Cape Canaveral in Florida, and we're asked to evaluate the height of the shuttle. Let x represent this height. We also know that the angle of elevation from her viewing point is 80^(∘).
To evaluate the value of x, we can use one of the trigonometric ratios. Let's recall that the tangent of ∠ A is the ratio of the leg opposite ∠ A to the leg adjacent ∠ A. Using this definition, we can create an equation for tan 80^(∘).
tan 80^(∘)=x/6
Let's solve the above equation.
