Question

In QRS, the measure of S=90, QS=12, RQ=13, and SR=5. What is the value of the tangent of R to the nearest hundredth

Answer 1

The given triangle is a right angle triangle because one of the angles is 90 degrees. The diagram of the triangle is shown below

The hypotenuse is the longest side of the triangle. Considering R as the reference angle,

hypotenuse = QR = 13

opposite side = QS = 12

adjacent side = SR = 5

To find the tangent of R, we would apply the tangent trigonometric ratio whch is expressed as

Tan # = opposite side/adjacents side

Thus,

Tan R = 12/5