Question

Finding missing sides with trig with ratios.Directions: Solve for X. Round to the nearest tenth. 6. 43° 36

Answer 1

we are given a right triangle with a missing side. Since the missing side is the hypotenuse and the known side is adjacent to the known angle we can use the trigonometric function cosine since this function is defined as follows:

`\cos \theta=(adajacent)/(hypotenuse)`

Replacing the values:

`\cos 43=(36)/(x)`

Solving for "x" by multiplying by "x":

`x\cos 43=36`

Dividing by "cos43":

`x=(36)/(\cos 43)`

Solving the operations:

`x=49.2`