Question

In ΔRST, the measure of ∠T=90°, TS = 65, SR = 97, and RT = 72. What ratio represents the cotangent of ∠S?

Answer 1

65/72

Explanation:

Given that ∠T=90° then the triangle ΔRST is a right angled triangle. Considering ∠S, RT is the opposite side, TS is the adjacent side and RS is the hypotenuse side. Using the notation

SOH CAH TOA

Tan ∠S = 72/65

Hence the cotangent of ∠S which is the inverse of the tangent will be

= 65/72