Question

In ΔRST, the measure of ∠T=90°, TS = 56, SR = 65, and RT = 33. What is the value of the cosine of ∠S to the nearest hundredth?

Answer 1

The calculated value of the cosine of ∠S is 0.86

How to determine the value of the cosine of ∠S?

From the question, we have the following parameters that can be used in our computation:

∠T=90°, TS = 56, SR = 65, and RT = 33

This means that

cos(S) = TS/SR

Substitute the known values into the equation

cos(S) = 56/65

Evaluate

cos(S) = 0.86

Hence, the value of the cosine of ∠S is0.86

Answer 2

0.86 (approx )

Explanation:

Given,

RST is a right angled triangle,

Such that ∠T=90°, TS = 56, SR = 65, and RT = 33,

By the trigonometric ratio,

`\cos S = \frac{\text{Adjacent leg}}{\text{Hypotenuse}}`

`=(TS)/(SR)`

`=(56)/(65)`

`=0.86154`

`=0.86`