Trig Question

Question

Use the theorem below to answer the question.
Suppose θ is an acute angle residing in a right triangle. If the length of the side adjacent to θ is a, the length of the side opposite θ is b, and the length of the hypotenuse is c, then
cos(θ) = a/c and sin(θ) = b/c . If θ = 79.19° and the hypotenuse has length 5280, how long is the side adjacent to θ? (Round your answer to two decimal places.)

Answer 1

cos 79.19 = a/5280

5280 cos 79.19 = a

5280(.187552) = a

990.28 ≈ a