Math Precalculus

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 = 70° and the side opposite θ has length 114.26, how long is the hypotenuse? (Round your answer to two decimal places.

Answer 1

sin 70 = 114.26/c

c(sin 70) = 114.26

c = 114.26/sin 70

c = 114.26/.93969

c = 121.58